Finding the Third Proportional to 165,619.69 and 362,677.50

Step by Step Solution

1. Step 1: Write the proportion equation
   165,619.69 : 362,677.50 = 362,677.50 : x
2. Step 2: Convert to fraction form
   165,619.69/362,677.50 = 362,677.50/x
3. Step 3: Cross multiply
   165,619.69x = 362,677.50 × 362,677.50
4. Step 4: Simplify right side
   165,619.69x = 131,534,969,006.25
5. Step 5: Solve for x
   x = 131,534,969,006.25/165,619.69
6. Step 6: Final answer
   x = 794,198.87