Finding the Third Proportional to 106,506 and 229,612.50

Step by Step Solution

1. Step 1: Write the proportion equation
   106,506 : 229,612.50 = 229,612.50 : x
2. Step 2: Convert to fraction form
   106,506/229,612.50 = 229,612.50/x
3. Step 3: Cross multiply
   106,506x = 229,612.50 × 229,612.50
4. Step 4: Simplify right side
   106,506x = 52,721,900,156.25
5. Step 5: Solve for x
   x = 52,721,900,156.25/106,506
6. Step 6: Final answer
   x = 495,013.43