Finding the Third Proportional to 75,252 and 116,584.50

Step by Step Solution

1. Step 1: Write the proportion equation
   75,252 : 116,584.50 = 116,584.50 : x
2. Step 2: Convert to fraction form
   75,252/116,584.50 = 116,584.50/x
3. Step 3: Cross multiply
   75,252x = 116,584.50 × 116,584.50
4. Step 4: Simplify right side
   75,252x = 13,591,945,640.25
5. Step 5: Solve for x
   x = 13,591,945,640.25/75,252
6. Step 6: Final answer
   x = 180,619.06