Finding the Third Proportional to 550,627.50 and 725,662.50

Step by Step Solution

1. Step 1: Write the proportion equation
   550,627.50 : 725,662.50 = 725,662.50 : x
2. Step 2: Convert to fraction form
   550,627.50/725,662.50 = 725,662.50/x
3. Step 3: Cross multiply
   550,627.50x = 725,662.50 × 725,662.50
4. Step 4: Simplify right side
   550,627.50x = 526,586,063,906.25
5. Step 5: Solve for x
   x = 526,586,063,906.25/550,627.50
6. Step 6: Final answer
   x = 956,338.11