Finding the Third Proportional to 102,266 and 156,969.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,266 : 156,969.50 = 156,969.50 : x
2. Step 2: Convert to fraction form
   102,266/156,969.50 = 156,969.50/x
3. Step 3: Cross multiply
   102,266x = 156,969.50 × 156,969.50
4. Step 4: Simplify right side
   102,266x = 24,639,423,930.25
5. Step 5: Solve for x
   x = 24,639,423,930.25/102,266
6. Step 6: Final answer
   x = 240,934.66