Finding the Third Proportional to 72,369 and 113,186

Step by Step Solution

1. Step 1: Write the proportion equation
   72,369 : 113,186 = 113,186 : x
2. Step 2: Convert to fraction form
   72,369/113,186 = 113,186/x
3. Step 3: Cross multiply
   72,369x = 113,186 × 113,186
4. Step 4: Simplify right side
   72,369x = 12,811,070,596
5. Step 5: Solve for x
   x = 12,811,070,596/72,369
6. Step 6: Final answer
   x = 177,024.29