Finding the Third Proportional to 89,784 and 136,540

Step by Step Solution

1. Step 1: Write the proportion equation
   89,784 : 136,540 = 136,540 : x
2. Step 2: Convert to fraction form
   89,784/136,540 = 136,540/x
3. Step 3: Cross multiply
   89,784x = 136,540 × 136,540
4. Step 4: Simplify right side
   89,784x = 18,643,171,600
5. Step 5: Solve for x
   x = 18,643,171,600/89,784
6. Step 6: Final answer
   x = 207,644.70