Finding the Third Proportional to 156,976 and 224,184

Step by Step Solution

1. Step 1: Write the proportion equation
   156,976 : 224,184 = 224,184 : x
2. Step 2: Convert to fraction form
   156,976/224,184 = 224,184/x
3. Step 3: Cross multiply
   156,976x = 224,184 × 224,184
4. Step 4: Simplify right side
   156,976x = 50,258,465,856
5. Step 5: Solve for x
   x = 50,258,465,856/156,976
6. Step 6: Final answer
   x = 320,166.56