Finding the Third Proportional to 115,165 and 250,002

Step by Step Solution

1. Step 1: Write the proportion equation
   115,165 : 250,002 = 250,002 : x
2. Step 2: Convert to fraction form
   115,165/250,002 = 250,002/x
3. Step 3: Cross multiply
   115,165x = 250,002 × 250,002
4. Step 4: Simplify right side
   115,165x = 62,501,000,004
5. Step 5: Solve for x
   x = 62,501,000,004/115,165
6. Step 6: Final answer
   x = 542,708.29