Finding the Third Proportional to 89,280 and 130,496

Step by Step Solution

1. Step 1: Write the proportion equation
   89,280 : 130,496 = 130,496 : x
2. Step 2: Convert to fraction form
   89,280/130,496 = 130,496/x
3. Step 3: Cross multiply
   89,280x = 130,496 × 130,496
4. Step 4: Simplify right side
   89,280x = 17,029,206,016
5. Step 5: Solve for x
   x = 17,029,206,016/89,280
6. Step 6: Final answer
   x = 190,739.31