Finding the Third Proportional to 62,786 and 137,380

Step by Step Solution

1. Step 1: Write the proportion equation
   62,786 : 137,380 = 137,380 : x
2. Step 2: Convert to fraction form
   62,786/137,380 = 137,380/x
3. Step 3: Cross multiply
   62,786x = 137,380 × 137,380
4. Step 4: Simplify right side
   62,786x = 18,873,264,400
5. Step 5: Solve for x
   x = 18,873,264,400/62,786
6. Step 6: Final answer
   x = 300,596.70