Finding the Third Proportional to 75,226.50 and 116,622

Step by Step Solution

1. Step 1: Write the proportion equation
   75,226.50 : 116,622 = 116,622 : x
2. Step 2: Convert to fraction form
   75,226.50/116,622 = 116,622/x
3. Step 3: Cross multiply
   75,226.50x = 116,622 × 116,622
4. Step 4: Simplify right side
   75,226.50x = 13,600,690,884
5. Step 5: Solve for x
   x = 13,600,690,884/75,226.50
6. Step 6: Final answer
   x = 180,796.54