Finding the Third Proportional to 83,766 and 182,592.75

Step by Step Solution

1. Step 1: Write the proportion equation
   83,766 : 182,592.75 = 182,592.75 : x
2. Step 2: Convert to fraction form
   83,766/182,592.75 = 182,592.75/x
3. Step 3: Cross multiply
   83,766x = 182,592.75 × 182,592.75
4. Step 4: Simplify right side
   83,766x = 33,340,112,352.56
5. Step 5: Solve for x
   x = 33,340,112,352.56/83,766
6. Step 6: Final answer
   x = 398,014.86