Finding the Third Proportional to 320,598 and 498,397.50

Step by Step Solution

1. Step 1: Write the proportion equation
   320,598 : 498,397.50 = 498,397.50 : x
2. Step 2: Convert to fraction form
   320,598/498,397.50 = 498,397.50/x
3. Step 3: Cross multiply
   320,598x = 498,397.50 × 498,397.50
4. Step 4: Simplify right side
   320,598x = 248,400,068,006.25
5. Step 5: Solve for x
   x = 248,400,068,006.25/320,598
6. Step 6: Final answer
   x = 774,802.30