Finding the Third Proportional to 64,002 and 137,815

Step by Step Solution

1. Step 1: Write the proportion equation
   64,002 : 137,815 = 137,815 : x
2. Step 2: Convert to fraction form
   64,002/137,815 = 137,815/x
3. Step 3: Cross multiply
   64,002x = 137,815 × 137,815
4. Step 4: Simplify right side
   64,002x = 18,992,974,225
5. Step 5: Solve for x
   x = 18,992,974,225/64,002
6. Step 6: Final answer
   x = 296,755.95