Finding the Third Proportional to 75,155 and 116,040

Step by Step Solution

1. Step 1: Write the proportion equation
   75,155 : 116,040 = 116,040 : x
2. Step 2: Convert to fraction form
   75,155/116,040 = 116,040/x
3. Step 3: Cross multiply
   75,155x = 116,040 × 116,040
4. Step 4: Simplify right side
   75,155x = 13,465,281,600
5. Step 5: Solve for x
   x = 13,465,281,600/75,155
6. Step 6: Final answer
   x = 179,166.81