Finding the Third Proportional to 75,857.50 and 165,088

Step by Step Solution

1. Step 1: Write the proportion equation
   75,857.50 : 165,088 = 165,088 : x
2. Step 2: Convert to fraction form
   75,857.50/165,088 = 165,088/x
3. Step 3: Cross multiply
   75,857.50x = 165,088 × 165,088
4. Step 4: Simplify right side
   75,857.50x = 27,254,047,744
5. Step 5: Solve for x
   x = 27,254,047,744/75,857.50
6. Step 6: Final answer
   x = 359,279.54