Finding the Third Proportional to 42,724 and 99,820

Step by Step Solution

1. Step 1: Write the proportion equation
   42,724 : 99,820 = 99,820 : x
2. Step 2: Convert to fraction form
   42,724/99,820 = 99,820/x
3. Step 3: Cross multiply
   42,724x = 99,820 × 99,820
4. Step 4: Simplify right side
   42,724x = 9,964,032,400
5. Step 5: Solve for x
   x = 9,964,032,400/42,724
6. Step 6: Final answer
   x = 233,218.62