Finding the Third Proportional to 100,978.50 and 221,541

Step by Step Solution

1. Step 1: Write the proportion equation
   100,978.50 : 221,541 = 221,541 : x
2. Step 2: Convert to fraction form
   100,978.50/221,541 = 221,541/x
3. Step 3: Cross multiply
   100,978.50x = 221,541 × 221,541
4. Step 4: Simplify right side
   100,978.50x = 49,080,414,681
5. Step 5: Solve for x
   x = 49,080,414,681/100,978.50
6. Step 6: Final answer
   x = 486,048.17