Finding the Third Proportional to 231,653.25 and 507,592.50

Step by Step Solution

1. Step 1: Write the proportion equation
   231,653.25 : 507,592.50 = 507,592.50 : x
2. Step 2: Convert to fraction form
   231,653.25/507,592.50 = 507,592.50/x
3. Step 3: Cross multiply
   231,653.25x = 507,592.50 × 507,592.50
4. Step 4: Simplify right side
   231,653.25x = 257,650,146,056.25
5. Step 5: Solve for x
   x = 257,650,146,056.25/231,653.25
6. Step 6: Final answer
   x = 1,112,223.32