Finding the Third Proportional to 105,432,868,709 and 160,616,081,973.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,432,868,709 : 160,616,081,973.50 = 160,616,081,973.50 : x
2. Step 2: Convert to fraction form
   105,432,868,709/160,616,081,973.50 = 160,616,081,973.50/x
3. Step 3: Cross multiply
   105,432,868,709x = 160,616,081,973.50 × 160,616,081,973.50
4. Step 4: Simplify right side
   105,432,868,709x = 25,797,525,788,518,070,091,776
5. Step 5: Solve for x
   x = 25,797,525,788,518,070,091,776/105,432,868,709
6. Step 6: Final answer
   x = 244,682,005,757.81