Finding the Third Proportional to 62,768 and 137,632

Step by Step Solution

1. Step 1: Write the proportion equation
   62,768 : 137,632 = 137,632 : x
2. Step 2: Convert to fraction form
   62,768/137,632 = 137,632/x
3. Step 3: Cross multiply
   62,768x = 137,632 × 137,632
4. Step 4: Simplify right side
   62,768x = 18,942,567,424
5. Step 5: Solve for x
   x = 18,942,567,424/62,768
6. Step 6: Final answer
   x = 301,787.02