Finding the Third Proportional to 331,978.50 and 498,298.50

Step by Step Solution

1. Step 1: Write the proportion equation
   331,978.50 : 498,298.50 = 498,298.50 : x
2. Step 2: Convert to fraction form
   331,978.50/498,298.50 = 498,298.50/x
3. Step 3: Cross multiply
   331,978.50x = 498,298.50 × 498,298.50
4. Step 4: Simplify right side
   331,978.50x = 248,301,395,102.25
5. Step 5: Solve for x
   x = 248,301,395,102.25/331,978.50
6. Step 6: Final answer
   x = 747,944.20