Finding the Third Proportional to 72,188 and 111,564

Step by Step Solution

1. Step 1: Write the proportion equation
   72,188 : 111,564 = 111,564 : x
2. Step 2: Convert to fraction form
   72,188/111,564 = 111,564/x
3. Step 3: Cross multiply
   72,188x = 111,564 × 111,564
4. Step 4: Simplify right side
   72,188x = 12,446,526,096
5. Step 5: Solve for x
   x = 12,446,526,096/72,188
6. Step 6: Final answer
   x = 172,418.21