Finding the Third Proportional to 42,562 and 99,414

Step by Step Solution

1. Step 1: Write the proportion equation
   42,562 : 99,414 = 99,414 : x
2. Step 2: Convert to fraction form
   42,562/99,414 = 99,414/x
3. Step 3: Cross multiply
   42,562x = 99,414 × 99,414
4. Step 4: Simplify right side
   42,562x = 9,883,143,396
5. Step 5: Solve for x
   x = 9,883,143,396/42,562
6. Step 6: Final answer
   x = 232,205.80