Finding the Third Proportional to 72,972 and 109,986

Step by Step Solution

1. Step 1: Write the proportion equation
   72,972 : 109,986 = 109,986 : x
2. Step 2: Convert to fraction form
   72,972/109,986 = 109,986/x
3. Step 3: Cross multiply
   72,972x = 109,986 × 109,986
4. Step 4: Simplify right side
   72,972x = 12,096,920,196
5. Step 5: Solve for x
   x = 12,096,920,196/72,972
6. Step 6: Final answer
   x = 165,774.82