Finding the Third Proportional to 78,040.50 and 165,799.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,040.50 : 165,799.50 = 165,799.50 : x
2. Step 2: Convert to fraction form
   78,040.50/165,799.50 = 165,799.50/x
3. Step 3: Cross multiply
   78,040.50x = 165,799.50 × 165,799.50
4. Step 4: Simplify right side
   78,040.50x = 27,489,474,200.25
5. Step 5: Solve for x
   x = 27,489,474,200.25/78,040.50
6. Step 6: Final answer
   x = 352,246.26