Finding the Third Proportional to 80,583 and 113,278.50

Step by Step Solution

1. Step 1: Write the proportion equation
   80,583 : 113,278.50 = 113,278.50 : x
2. Step 2: Convert to fraction form
   80,583/113,278.50 = 113,278.50/x
3. Step 3: Cross multiply
   80,583x = 113,278.50 × 113,278.50
4. Step 4: Simplify right side
   80,583x = 12,832,018,562.25
5. Step 5: Solve for x
   x = 12,832,018,562.25/80,583
6. Step 6: Final answer
   x = 159,239.77