Finding the Third Proportional to 83,155.50 and 182,256.75

Step by Step Solution

1. Step 1: Write the proportion equation
   83,155.50 : 182,256.75 = 182,256.75 : x
2. Step 2: Convert to fraction form
   83,155.50/182,256.75 = 182,256.75/x
3. Step 3: Cross multiply
   83,155.50x = 182,256.75 × 182,256.75
4. Step 4: Simplify right side
   83,155.50x = 33,217,522,920.56
5. Step 5: Solve for x
   x = 33,217,522,920.56/83,155.50
6. Step 6: Final answer
   x = 399,462.73