Finding the Third Proportional to 106,454.25 and 231,808.50

Step by Step Solution

1. Step 1: Write the proportion equation
   106,454.25 : 231,808.50 = 231,808.50 : x
2. Step 2: Convert to fraction form
   106,454.25/231,808.50 = 231,808.50/x
3. Step 3: Cross multiply
   106,454.25x = 231,808.50 × 231,808.50
4. Step 4: Simplify right side
   106,454.25x = 53,735,180,672.25
5. Step 5: Solve for x
   x = 53,735,180,672.25/106,454.25
6. Step 6: Final answer
   x = 504,772.53