Finding the Third Proportional to 156,384 and 222,816

Step by Step Solution

1. Step 1: Write the proportion equation
   156,384 : 222,816 = 222,816 : x
2. Step 2: Convert to fraction form
   156,384/222,816 = 222,816/x
3. Step 3: Cross multiply
   156,384x = 222,816 × 222,816
4. Step 4: Simplify right side
   156,384x = 49,646,969,856
5. Step 5: Solve for x
   x = 49,646,969,856/156,384
6. Step 6: Final answer
   x = 317,468.35