Finding the Third Proportional to 74,566.50 and 158,974.50

Step by Step Solution

1. Step 1: Write the proportion equation
   74,566.50 : 158,974.50 = 158,974.50 : x
2. Step 2: Convert to fraction form
   74,566.50/158,974.50 = 158,974.50/x
3. Step 3: Cross multiply
   74,566.50x = 158,974.50 × 158,974.50
4. Step 4: Simplify right side
   74,566.50x = 25,272,891,650.25
5. Step 5: Solve for x
   x = 25,272,891,650.25/74,566.50
6. Step 6: Final answer
   x = 338,930.91