Finding the Third Proportional to 62,002 and 137,780

Step by Step Solution

1. Step 1: Write the proportion equation
   62,002 : 137,780 = 137,780 : x
2. Step 2: Convert to fraction form
   62,002/137,780 = 137,780/x
3. Step 3: Cross multiply
   62,002x = 137,780 × 137,780
4. Step 4: Simplify right side
   62,002x = 18,983,328,400
5. Step 5: Solve for x
   x = 18,983,328,400/62,002
6. Step 6: Final answer
   x = 306,172.84