Finding the Third Proportional to 60,768 and 127,678.50

Step by Step Solution

1. Step 1: Write the proportion equation
   60,768 : 127,678.50 = 127,678.50 : x
2. Step 2: Convert to fraction form
   60,768/127,678.50 = 127,678.50/x
3. Step 3: Cross multiply
   60,768x = 127,678.50 × 127,678.50
4. Step 4: Simplify right side
   60,768x = 16,301,799,362.25
5. Step 5: Solve for x
   x = 16,301,799,362.25/60,768
6. Step 6: Final answer
   x = 268,262.89