Finding the Third Proportional to 72,207 and 111,591

Step by Step Solution

1. Step 1: Write the proportion equation
   72,207 : 111,591 = 111,591 : x
2. Step 2: Convert to fraction form
   72,207/111,591 = 111,591/x
3. Step 3: Cross multiply
   72,207x = 111,591 × 111,591
4. Step 4: Simplify right side
   72,207x = 12,452,551,281
5. Step 5: Solve for x
   x = 12,452,551,281/72,207
6. Step 6: Final answer
   x = 172,456.29