Finding the Third Proportional to 76,198.50 and 165,109.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,198.50 : 165,109.50 = 165,109.50 : x
2. Step 2: Convert to fraction form
   76,198.50/165,109.50 = 165,109.50/x
3. Step 3: Cross multiply
   76,198.50x = 165,109.50 × 165,109.50
4. Step 4: Simplify right side
   76,198.50x = 27,261,146,990.25
5. Step 5: Solve for x
   x = 27,261,146,990.25/76,198.50
6. Step 6: Final answer
   x = 357,764.88