Finding the Third Proportional to 95,023.50 and 206,474.50

Step by Step Solution

1. Step 1: Write the proportion equation
   95,023.50 : 206,474.50 = 206,474.50 : x
2. Step 2: Convert to fraction form
   95,023.50/206,474.50 = 206,474.50/x
3. Step 3: Cross multiply
   95,023.50x = 206,474.50 × 206,474.50
4. Step 4: Simplify right side
   95,023.50x = 42,631,719,150.25
5. Step 5: Solve for x
   x = 42,631,719,150.25/95,023.50
6. Step 6: Final answer
   x = 448,643.96