Finding the Third Proportional to 83,229 and 128,728.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,229 : 128,728.50 = 128,728.50 : x
2. Step 2: Convert to fraction form
   83,229/128,728.50 = 128,728.50/x
3. Step 3: Cross multiply
   83,229x = 128,728.50 × 128,728.50
4. Step 4: Simplify right side
   83,229x = 16,571,026,712.25
5. Step 5: Solve for x
   x = 16,571,026,712.25/83,229
6. Step 6: Final answer
   x = 199,101.60