Finding the Third Proportional to 115,566 and 162,265.50

Step by Step Solution

1. Step 1: Write the proportion equation
   115,566 : 162,265.50 = 162,265.50 : x
2. Step 2: Convert to fraction form
   115,566/162,265.50 = 162,265.50/x
3. Step 3: Cross multiply
   115,566x = 162,265.50 × 162,265.50
4. Step 4: Simplify right side
   115,566x = 26,330,092,490.25
5. Step 5: Solve for x
   x = 26,330,092,490.25/115,566
6. Step 6: Final answer
   x = 227,835.98