Finding the Third Proportional to 62,326 and 137,117

Step by Step Solution

1. Step 1: Write the proportion equation
   62,326 : 137,117 = 137,117 : x
2. Step 2: Convert to fraction form
   62,326/137,117 = 137,117/x
3. Step 3: Cross multiply
   62,326x = 137,117 × 137,117
4. Step 4: Simplify right side
   62,326x = 18,801,071,689
5. Step 5: Solve for x
   x = 18,801,071,689/62,326
6. Step 6: Final answer
   x = 301,656.96