Finding the Third Proportional to 72,234 and 111,186

Step by Step Solution

1. Step 1: Write the proportion equation
   72,234 : 111,186 = 111,186 : x
2. Step 2: Convert to fraction form
   72,234/111,186 = 111,186/x
3. Step 3: Cross multiply
   72,234x = 111,186 × 111,186
4. Step 4: Simplify right side
   72,234x = 12,362,326,596
5. Step 5: Solve for x
   x = 12,362,326,596/72,234
6. Step 6: Final answer
   x = 171,142.77