Finding the Third Proportional to 83,656 and 180,128

Step by Step Solution

1. Step 1: Write the proportion equation
   83,656 : 180,128 = 180,128 : x
2. Step 2: Convert to fraction form
   83,656/180,128 = 180,128/x
3. Step 3: Cross multiply
   83,656x = 180,128 × 180,128
4. Step 4: Simplify right side
   83,656x = 32,446,096,384
5. Step 5: Solve for x
   x = 32,446,096,384/83,656
6. Step 6: Final answer
   x = 387,851.40