Finding the Third Proportional to 72,962 and 157,078

Step by Step Solution

1. Step 1: Write the proportion equation
   72,962 : 157,078 = 157,078 : x
2. Step 2: Convert to fraction form
   72,962/157,078 = 157,078/x
3. Step 3: Cross multiply
   72,962x = 157,078 × 157,078
4. Step 4: Simplify right side
   72,962x = 24,673,498,084
5. Step 5: Solve for x
   x = 24,673,498,084/72,962
6. Step 6: Final answer
   x = 338,169.16