Finding the Third Proportional to 158,064 and 281,044.50

Step by Step Solution

1. Step 1: Write the proportion equation
   158,064 : 281,044.50 = 281,044.50 : x
2. Step 2: Convert to fraction form
   158,064/281,044.50 = 281,044.50/x
3. Step 3: Cross multiply
   158,064x = 281,044.50 × 281,044.50
4. Step 4: Simplify right side
   158,064x = 78,986,010,980.25
5. Step 5: Solve for x
   x = 78,986,010,980.25/158,064
6. Step 6: Final answer
   x = 499,709.05