Finding the Third Proportional to 198,303.50 and 386,644

Step by Step Solution

1. Step 1: Write the proportion equation
   198,303.50 : 386,644 = 386,644 : x
2. Step 2: Convert to fraction form
   198,303.50/386,644 = 386,644/x
3. Step 3: Cross multiply
   198,303.50x = 386,644 × 386,644
4. Step 4: Simplify right side
   198,303.50x = 149,493,582,736
5. Step 5: Solve for x
   x = 149,493,582,736/198,303.50
6. Step 6: Final answer
   x = 753,862.55