Finding the Third Proportional to 98,523 and 213,510

Step by Step Solution

1. Step 1: Write the proportion equation
   98,523 : 213,510 = 213,510 : x
2. Step 2: Convert to fraction form
   98,523/213,510 = 213,510/x
3. Step 3: Cross multiply
   98,523x = 213,510 × 213,510
4. Step 4: Simplify right side
   98,523x = 45,586,520,100
5. Step 5: Solve for x
   x = 45,586,520,100/98,523
6. Step 6: Final answer
   x = 462,699.27