Finding the Third Proportional to 106,545 and 229,695.50

Step by Step Solution

1. Step 1: Write the proportion equation
   106,545 : 229,695.50 = 229,695.50 : x
2. Step 2: Convert to fraction form
   106,545/229,695.50 = 229,695.50/x
3. Step 3: Cross multiply
   106,545x = 229,695.50 × 229,695.50
4. Step 4: Simplify right side
   106,545x = 52,760,022,720.25
5. Step 5: Solve for x
   x = 52,760,022,720.25/106,545
6. Step 6: Final answer
   x = 495,190.04