Finding the Third Proportional to 73,585 and 116,596

Step by Step Solution

1. Step 1: Write the proportion equation
   73,585 : 116,596 = 116,596 : x
2. Step 2: Convert to fraction form
   73,585/116,596 = 116,596/x
3. Step 3: Cross multiply
   73,585x = 116,596 × 116,596
4. Step 4: Simplify right side
   73,585x = 13,594,627,216
5. Step 5: Solve for x
   x = 13,594,627,216/73,585
6. Step 6: Final answer
   x = 184,747.26