Finding the Third Proportional to 62,789 and 137,386

Step by Step Solution

1. Step 1: Write the proportion equation
   62,789 : 137,386 = 137,386 : x
2. Step 2: Convert to fraction form
   62,789/137,386 = 137,386/x
3. Step 3: Cross multiply
   62,789x = 137,386 × 137,386
4. Step 4: Simplify right side
   62,789x = 18,874,912,996
5. Step 5: Solve for x
   x = 18,874,912,996/62,789
6. Step 6: Final answer
   x = 300,608.59