Finding the Third Proportional to 89,142 and 185,756

Step by Step Solution

1. Step 1: Write the proportion equation
   89,142 : 185,756 = 185,756 : x
2. Step 2: Convert to fraction form
   89,142/185,756 = 185,756/x
3. Step 3: Cross multiply
   89,142x = 185,756 × 185,756
4. Step 4: Simplify right side
   89,142x = 34,505,291,536
5. Step 5: Solve for x
   x = 34,505,291,536/89,142
6. Step 6: Final answer
   x = 387,082.31