Finding the Third Proportional to 73,577 and 116,584

Step by Step Solution

1. Step 1: Write the proportion equation
   73,577 : 116,584 = 116,584 : x
2. Step 2: Convert to fraction form
   73,577/116,584 = 116,584/x
3. Step 3: Cross multiply
   73,577x = 116,584 × 116,584
4. Step 4: Simplify right side
   73,577x = 13,591,829,056
5. Step 5: Solve for x
   x = 13,591,829,056/73,577
6. Step 6: Final answer
   x = 184,729.32