Finding the Third Proportional to 62,681 and 137,764

Step by Step Solution

1. Step 1: Write the proportion equation
   62,681 : 137,764 = 137,764 : x
2. Step 2: Convert to fraction form
   62,681/137,764 = 137,764/x
3. Step 3: Cross multiply
   62,681x = 137,764 × 137,764
4. Step 4: Simplify right side
   62,681x = 18,978,919,696
5. Step 5: Solve for x
   x = 18,978,919,696/62,681
6. Step 6: Final answer
   x = 302,785.85