Finding the Third Proportional to 105,048.75 and 160,645.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,048.75 : 160,645.50 = 160,645.50 : x
2. Step 2: Convert to fraction form
   105,048.75/160,645.50 = 160,645.50/x
3. Step 3: Cross multiply
   105,048.75x = 160,645.50 × 160,645.50
4. Step 4: Simplify right side
   105,048.75x = 25,806,976,670.25
5. Step 5: Solve for x
   x = 25,806,976,670.25/105,048.75
6. Step 6: Final answer
   x = 245,666.67