Finding the Third Proportional to 98,500 and 213,488

Step by Step Solution

1. Step 1: Write the proportion equation
   98,500 : 213,488 = 213,488 : x
2. Step 2: Convert to fraction form
   98,500/213,488 = 213,488/x
3. Step 3: Cross multiply
   98,500x = 213,488 × 213,488
4. Step 4: Simplify right side
   98,500x = 45,577,126,144
5. Step 5: Solve for x
   x = 45,577,126,144/98,500
6. Step 6: Final answer
   x = 462,711.94