Finding the Third Proportional to 109,623 and 165,619.50

Step by Step Solution

1. Step 1: Write the proportion equation
   109,623 : 165,619.50 = 165,619.50 : x
2. Step 2: Convert to fraction form
   109,623/165,619.50 = 165,619.50/x
3. Step 3: Cross multiply
   109,623x = 165,619.50 × 165,619.50
4. Step 4: Simplify right side
   109,623x = 27,429,818,780.25
5. Step 5: Solve for x
   x = 27,429,818,780.25/109,623
6. Step 6: Final answer
   x = 250,219.56