Finding the Third Proportional to 751.78 and 1,200.76

Step by Step Solution

1. Step 1: Write the proportion equation
   751.78 : 1,200.76 = 1,200.76 : x
2. Step 2: Convert to fraction form
   751.78/1,200.76 = 1,200.76/x
3. Step 3: Cross multiply
   751.78x = 1,200.76 × 1,200.76
4. Step 4: Simplify right side
   751.78x = 1,441,828.71
5. Step 5: Solve for x
   x = 1,441,828.71/751.78
6. Step 6: Final answer
   x = 1,917.88