Finding the Third Proportional to 83,570 and 137,186

Step by Step Solution

1. Step 1: Write the proportion equation
   83,570 : 137,186 = 137,186 : x
2. Step 2: Convert to fraction form
   83,570/137,186 = 137,186/x
3. Step 3: Cross multiply
   83,570x = 137,186 × 137,186
4. Step 4: Simplify right side
   83,570x = 18,819,998,596
5. Step 5: Solve for x
   x = 18,819,998,596/83,570
6. Step 6: Final answer
   x = 225,200.41