Finding the Third Proportional to 113,666 and 165,501.50

Step by Step Solution

1. Step 1: Write the proportion equation
   113,666 : 165,501.50 = 165,501.50 : x
2. Step 2: Convert to fraction form
   113,666/165,501.50 = 165,501.50/x
3. Step 3: Cross multiply
   113,666x = 165,501.50 × 165,501.50
4. Step 4: Simplify right side
   113,666x = 27,390,746,502.25
5. Step 5: Solve for x
   x = 27,390,746,502.25/113,666
6. Step 6: Final answer
   x = 240,975.72