Finding the Third Proportional to 90,496 and 133,116

Step by Step Solution

1. Step 1: Write the proportion equation
   90,496 : 133,116 = 133,116 : x
2. Step 2: Convert to fraction form
   90,496/133,116 = 133,116/x
3. Step 3: Cross multiply
   90,496x = 133,116 × 133,116
4. Step 4: Simplify right side
   90,496x = 17,719,869,456
5. Step 5: Solve for x
   x = 17,719,869,456/90,496
6. Step 6: Final answer
   x = 195,808.32