Finding the Third Proportional to 75,856.50 and 165,726

Step by Step Solution

1. Step 1: Write the proportion equation
   75,856.50 : 165,726 = 165,726 : x
2. Step 2: Convert to fraction form
   75,856.50/165,726 = 165,726/x
3. Step 3: Cross multiply
   75,856.50x = 165,726 × 165,726
4. Step 4: Simplify right side
   75,856.50x = 27,465,107,076
5. Step 5: Solve for x
   x = 27,465,107,076/75,856.50
6. Step 6: Final answer
   x = 362,066.63