Finding the Third Proportional to 233,113.50 and 508,387.50

Step by Step Solution

1. Step 1: Write the proportion equation
   233,113.50 : 508,387.50 = 508,387.50 : x
2. Step 2: Convert to fraction form
   233,113.50/508,387.50 = 508,387.50/x
3. Step 3: Cross multiply
   233,113.50x = 508,387.50 × 508,387.50
4. Step 4: Simplify right side
   233,113.50x = 258,457,850,156.25
5. Step 5: Solve for x
   x = 258,457,850,156.25/233,113.50
6. Step 6: Final answer
   x = 1,108,721.07