Finding the Third Proportional to 76,128 and 108,204

Step by Step Solution

1. Step 1: Write the proportion equation
   76,128 : 108,204 = 108,204 : x
2. Step 2: Convert to fraction form
   76,128/108,204 = 108,204/x
3. Step 3: Cross multiply
   76,128x = 108,204 × 108,204
4. Step 4: Simplify right side
   76,128x = 11,708,105,616
5. Step 5: Solve for x
   x = 11,708,105,616/76,128
6. Step 6: Final answer
   x = 153,795.00