Finding the Third Proportional to 82,422 and 158,278.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,422 : 158,278.50 = 158,278.50 : x
2. Step 2: Convert to fraction form
   82,422/158,278.50 = 158,278.50/x
3. Step 3: Cross multiply
   82,422x = 158,278.50 × 158,278.50
4. Step 4: Simplify right side
   82,422x = 25,052,083,562.25
5. Step 5: Solve for x
   x = 25,052,083,562.25/82,422
6. Step 6: Final answer
   x = 303,948.99