Finding the Third Proportional to 363,258 and 498,655.50

Step by Step Solution

1. Step 1: Write the proportion equation
   363,258 : 498,655.50 = 498,655.50 : x
2. Step 2: Convert to fraction form
   363,258/498,655.50 = 498,655.50/x
3. Step 3: Cross multiply
   363,258x = 498,655.50 × 498,655.50
4. Step 4: Simplify right side
   363,258x = 248,657,307,680.25
5. Step 5: Solve for x
   x = 248,657,307,680.25/363,258
6. Step 6: Final answer
   x = 684,519.84