Finding the Third Proportional to 42,416 and 90,664

Step by Step Solution

1. Step 1: Write the proportion equation
   42,416 : 90,664 = 90,664 : x
2. Step 2: Convert to fraction form
   42,416/90,664 = 90,664/x
3. Step 3: Cross multiply
   42,416x = 90,664 × 90,664
4. Step 4: Simplify right side
   42,416x = 8,219,960,896
5. Step 5: Solve for x
   x = 8,219,960,896/42,416
6. Step 6: Final answer
   x = 193,793.87