Finding the Third Proportional to 89,280 and 133,614

Step by Step Solution

1. Step 1: Write the proportion equation
   89,280 : 133,614 = 133,614 : x
2. Step 2: Convert to fraction form
   89,280/133,614 = 133,614/x
3. Step 3: Cross multiply
   89,280x = 133,614 × 133,614
4. Step 4: Simplify right side
   89,280x = 17,852,700,996
5. Step 5: Solve for x
   x = 17,852,700,996/89,280
6. Step 6: Final answer
   x = 199,963.05