Finding the Third Proportional to 158,076 and 281,066

Step by Step Solution

1. Step 1: Write the proportion equation
   158,076 : 281,066 = 281,066 : x
2. Step 2: Convert to fraction form
   158,076/281,066 = 281,066/x
3. Step 3: Cross multiply
   158,076x = 281,066 × 281,066
4. Step 4: Simplify right side
   158,076x = 78,998,096,356
5. Step 5: Solve for x
   x = 78,998,096,356/158,076
6. Step 6: Final answer
   x = 499,747.57