Finding the Third Proportional to 77,280 and 161,256

Step by Step Solution

1. Step 1: Write the proportion equation
   77,280 : 161,256 = 161,256 : x
2. Step 2: Convert to fraction form
   77,280/161,256 = 161,256/x
3. Step 3: Cross multiply
   77,280x = 161,256 × 161,256
4. Step 4: Simplify right side
   77,280x = 26,003,497,536
5. Step 5: Solve for x
   x = 26,003,497,536/77,280
6. Step 6: Final answer
   x = 336,484.18