Finding the Third Proportional to 112,856 and 178,552

Step by Step Solution

1. Step 1: Write the proportion equation
   112,856 : 178,552 = 178,552 : x
2. Step 2: Convert to fraction form
   112,856/178,552 = 178,552/x
3. Step 3: Cross multiply
   112,856x = 178,552 × 178,552
4. Step 4: Simplify right side
   112,856x = 31,880,816,704
5. Step 5: Solve for x
   x = 31,880,816,704/112,856
6. Step 6: Final answer
   x = 282,491.11