Finding the Third Proportional to 98,770.50 and 213,498

Step by Step Solution

1. Step 1: Write the proportion equation
   98,770.50 : 213,498 = 213,498 : x
2. Step 2: Convert to fraction form
   98,770.50/213,498 = 213,498/x
3. Step 3: Cross multiply
   98,770.50x = 213,498 × 213,498
4. Step 4: Simplify right side
   98,770.50x = 45,581,396,004
5. Step 5: Solve for x
   x = 45,581,396,004/98,770.50
6. Step 6: Final answer
   x = 461,487.95