Finding the Third Proportional to 72,398 and 113,687

Step by Step Solution

1. Step 1: Write the proportion equation
   72,398 : 113,687 = 113,687 : x
2. Step 2: Convert to fraction form
   72,398/113,687 = 113,687/x
3. Step 3: Cross multiply
   72,398x = 113,687 × 113,687
4. Step 4: Simplify right side
   72,398x = 12,924,733,969
5. Step 5: Solve for x
   x = 12,924,733,969/72,398
6. Step 6: Final answer
   x = 178,523.36