Finding the Third Proportional to 83,154.50 and 182,413

Step by Step Solution

1. Step 1: Write the proportion equation
   83,154.50 : 182,413 = 182,413 : x
2. Step 2: Convert to fraction form
   83,154.50/182,413 = 182,413/x
3. Step 3: Cross multiply
   83,154.50x = 182,413 × 182,413
4. Step 4: Simplify right side
   83,154.50x = 33,274,502,569
5. Step 5: Solve for x
   x = 33,274,502,569/83,154.50
6. Step 6: Final answer
   x = 400,152.76