Finding the Third Proportional to 98,870 and 213,291

Step by Step Solution

1. Step 1: Write the proportion equation
   98,870 : 213,291 = 213,291 : x
2. Step 2: Convert to fraction form
   98,870/213,291 = 213,291/x
3. Step 3: Cross multiply
   98,870x = 213,291 × 213,291
4. Step 4: Simplify right side
   98,870x = 45,493,050,681
5. Step 5: Solve for x
   x = 45,493,050,681/98,870
6. Step 6: Final answer
   x = 460,129.98