Finding the Third Proportional to 72,261 and 111,209

Step by Step Solution

1. Step 1: Write the proportion equation
   72,261 : 111,209 = 111,209 : x
2. Step 2: Convert to fraction form
   72,261/111,209 = 111,209/x
3. Step 3: Cross multiply
   72,261x = 111,209 × 111,209
4. Step 4: Simplify right side
   72,261x = 12,367,441,681
5. Step 5: Solve for x
   x = 12,367,441,681/72,261
6. Step 6: Final answer
   x = 171,149.61