Finding the Third Proportional to 106,620 and 229,864.50

Step by Step Solution

1. Step 1: Write the proportion equation
   106,620 : 229,864.50 = 229,864.50 : x
2. Step 2: Convert to fraction form
   106,620/229,864.50 = 229,864.50/x
3. Step 3: Cross multiply
   106,620x = 229,864.50 × 229,864.50
4. Step 4: Simplify right side
   106,620x = 52,837,688,360.25
5. Step 5: Solve for x
   x = 52,837,688,360.25/106,620
6. Step 6: Final answer
   x = 495,570.14