Finding the Third Proportional to 75,040 and 116,158

Step by Step Solution

1. Step 1: Write the proportion equation
   75,040 : 116,158 = 116,158 : x
2. Step 2: Convert to fraction form
   75,040/116,158 = 116,158/x
3. Step 3: Cross multiply
   75,040x = 116,158 × 116,158
4. Step 4: Simplify right side
   75,040x = 13,492,680,964
5. Step 5: Solve for x
   x = 13,492,680,964/75,040
6. Step 6: Final answer
   x = 179,806.52