Finding the Third Proportional to 73,597 and 116,597

Step by Step Solution

1. Step 1: Write the proportion equation
   73,597 : 116,597 = 116,597 : x
2. Step 2: Convert to fraction form
   73,597/116,597 = 116,597/x
3. Step 3: Cross multiply
   73,597x = 116,597 × 116,597
4. Step 4: Simplify right side
   73,597x = 13,594,860,409
5. Step 5: Solve for x
   x = 13,594,860,409/73,597
6. Step 6: Final answer
   x = 184,720.31