Finding the Third Proportional to 73,590 and 116,577

Step by Step Solution

1. Step 1: Write the proportion equation
   73,590 : 116,577 = 116,577 : x
2. Step 2: Convert to fraction form
   73,590/116,577 = 116,577/x
3. Step 3: Cross multiply
   73,590x = 116,577 × 116,577
4. Step 4: Simplify right side
   73,590x = 13,590,196,929
5. Step 5: Solve for x
   x = 13,590,196,929/73,590
6. Step 6: Final answer
   x = 184,674.51