Finding the Third Proportional to 42,586 and 99,468

Step by Step Solution

1. Step 1: Write the proportion equation
   42,586 : 99,468 = 99,468 : x
2. Step 2: Convert to fraction form
   42,586/99,468 = 99,468/x
3. Step 3: Cross multiply
   42,586x = 99,468 × 99,468
4. Step 4: Simplify right side
   42,586x = 9,893,883,024
5. Step 5: Solve for x
   x = 9,893,883,024/42,586
6. Step 6: Final answer
   x = 232,327.13