Finding the Third Proportional to 72,626 and 120,017

Step by Step Solution

1. Step 1: Write the proportion equation
   72,626 : 120,017 = 120,017 : x
2. Step 2: Convert to fraction form
   72,626/120,017 = 120,017/x
3. Step 3: Cross multiply
   72,626x = 120,017 × 120,017
4. Step 4: Simplify right side
   72,626x = 14,404,080,289
5. Step 5: Solve for x
   x = 14,404,080,289/72,626
6. Step 6: Final answer
   x = 198,332.28