Finding the Third Proportional to 98,466 and 200,539.50

Step by Step Solution

1. Step 1: Write the proportion equation
   98,466 : 200,539.50 = 200,539.50 : x
2. Step 2: Convert to fraction form
   98,466/200,539.50 = 200,539.50/x
3. Step 3: Cross multiply
   98,466x = 200,539.50 × 200,539.50
4. Step 4: Simplify right side
   98,466x = 40,216,091,060.25
5. Step 5: Solve for x
   x = 40,216,091,060.25/98,466
6. Step 6: Final answer
   x = 408,426.17