Finding the Third Proportional to 98,762 and 212,510

Step by Step Solution

1. Step 1: Write the proportion equation
   98,762 : 212,510 = 212,510 : x
2. Step 2: Convert to fraction form
   98,762/212,510 = 212,510/x
3. Step 3: Cross multiply
   98,762x = 212,510 × 212,510
4. Step 4: Simplify right side
   98,762x = 45,160,500,100
5. Step 5: Solve for x
   x = 45,160,500,100/98,762
6. Step 6: Final answer
   x = 457,265.95