Finding the Third Proportional to 415,258.50 and 548,665.50

Step by Step Solution

1. Step 1: Write the proportion equation
   415,258.50 : 548,665.50 = 548,665.50 : x
2. Step 2: Convert to fraction form
   415,258.50/548,665.50 = 548,665.50/x
3. Step 3: Cross multiply
   415,258.50x = 548,665.50 × 548,665.50
4. Step 4: Simplify right side
   415,258.50x = 301,033,830,890.25
5. Step 5: Solve for x
   x = 301,033,830,890.25/415,258.50
6. Step 6: Final answer
   x = 724,931.17