Finding the Third Proportional to 76,982.50 and 165,424

Step by Step Solution

1. Step 1: Write the proportion equation
   76,982.50 : 165,424 = 165,424 : x
2. Step 2: Convert to fraction form
   76,982.50/165,424 = 165,424/x
3. Step 3: Cross multiply
   76,982.50x = 165,424 × 165,424
4. Step 4: Simplify right side
   76,982.50x = 27,365,099,776
5. Step 5: Solve for x
   x = 27,365,099,776/76,982.50
6. Step 6: Final answer
   x = 355,471.70