Finding the Third Proportional to 73,578 and 116,585

Step by Step Solution

1. Step 1: Write the proportion equation
   73,578 : 116,585 = 116,585 : x
2. Step 2: Convert to fraction form
   73,578/116,585 = 116,585/x
3. Step 3: Cross multiply
   73,578x = 116,585 × 116,585
4. Step 4: Simplify right side
   73,578x = 13,592,062,225
5. Step 5: Solve for x
   x = 13,592,062,225/73,578
6. Step 6: Final answer
   x = 184,729.98