Finding the Third Proportional to 42,664 and 91,496

Step by Step Solution

1. Step 1: Write the proportion equation
   42,664 : 91,496 = 91,496 : x
2. Step 2: Convert to fraction form
   42,664/91,496 = 91,496/x
3. Step 3: Cross multiply
   42,664x = 91,496 × 91,496
4. Step 4: Simplify right side
   42,664x = 8,371,518,016
5. Step 5: Solve for x
   x = 8,371,518,016/42,664
6. Step 6: Final answer
   x = 196,219.72