Finding the Third Proportional to 71,680 and 113,875

Step by Step Solution

1. Step 1: Write the proportion equation
   71,680 : 113,875 = 113,875 : x
2. Step 2: Convert to fraction form
   71,680/113,875 = 113,875/x
3. Step 3: Cross multiply
   71,680x = 113,875 × 113,875
4. Step 4: Simplify right side
   71,680x = 12,967,515,625
5. Step 5: Solve for x
   x = 12,967,515,625/71,680
6. Step 6: Final answer
   x = 180,908.42