Finding the Third Proportional to 76,350 and 116,582

Step by Step Solution

1. Step 1: Write the proportion equation
   76,350 : 116,582 = 116,582 : x
2. Step 2: Convert to fraction form
   76,350/116,582 = 116,582/x
3. Step 3: Cross multiply
   76,350x = 116,582 × 116,582
4. Step 4: Simplify right side
   76,350x = 13,591,362,724
5. Step 5: Solve for x
   x = 13,591,362,724/76,350
6. Step 6: Final answer
   x = 178,013.92