Finding the Third Proportional to 88,540 and 137,094

Step by Step Solution

1. Step 1: Write the proportion equation
   88,540 : 137,094 = 137,094 : x
2. Step 2: Convert to fraction form
   88,540/137,094 = 137,094/x
3. Step 3: Cross multiply
   88,540x = 137,094 × 137,094
4. Step 4: Simplify right side
   88,540x = 18,794,764,836
5. Step 5: Solve for x
   x = 18,794,764,836/88,540
6. Step 6: Final answer
   x = 212,274.28