Finding the Third Proportional to 98,522 and 213,508

Step by Step Solution

1. Step 1: Write the proportion equation
   98,522 : 213,508 = 213,508 : x
2. Step 2: Convert to fraction form
   98,522/213,508 = 213,508/x
3. Step 3: Cross multiply
   98,522x = 213,508 × 213,508
4. Step 4: Simplify right side
   98,522x = 45,585,666,064
5. Step 5: Solve for x
   x = 45,585,666,064/98,522
6. Step 6: Final answer
   x = 462,695.30