Finding the Third Proportional to 73,585 and 113,915

Step by Step Solution

1. Step 1: Write the proportion equation
   73,585 : 113,915 = 113,915 : x
2. Step 2: Convert to fraction form
   73,585/113,915 = 113,915/x
3. Step 3: Cross multiply
   73,585x = 113,915 × 113,915
4. Step 4: Simplify right side
   73,585x = 12,976,627,225
5. Step 5: Solve for x
   x = 12,976,627,225/73,585
6. Step 6: Final answer
   x = 176,348.81