Finding the Third Proportional to 165,733.50 and 362,814

Step by Step Solution

1. Step 1: Write the proportion equation
   165,733.50 : 362,814 = 362,814 : x
2. Step 2: Convert to fraction form
   165,733.50/362,814 = 362,814/x
3. Step 3: Cross multiply
   165,733.50x = 362,814 × 362,814
4. Step 4: Simplify right side
   165,733.50x = 131,633,998,596
5. Step 5: Solve for x
   x = 131,633,998,596/165,733.50
6. Step 6: Final answer
   x = 794,251.00