Finding the Third Proportional to 42,628 and 99,566

Step by Step Solution

1. Step 1: Write the proportion equation
   42,628 : 99,566 = 99,566 : x
2. Step 2: Convert to fraction form
   42,628/99,566 = 99,566/x
3. Step 3: Cross multiply
   42,628x = 99,566 × 99,566
4. Step 4: Simplify right side
   42,628x = 9,913,388,356
5. Step 5: Solve for x
   x = 9,913,388,356/42,628
6. Step 6: Final answer
   x = 232,555.79