Finding the Third Proportional to 312.56 and 526.78

Step by Step Solution

1. Step 1: Write the proportion equation
   312.56 : 526.78 = 526.78 : x
2. Step 2: Convert to fraction form
   312.56/526.78 = 526.78/x
3. Step 3: Cross multiply
   312.56x = 526.78 × 526.78
4. Step 4: Simplify right side
   312.56x = 277,498.49
5. Step 5: Solve for x
   x = 277,498.49/312.56
6. Step 6: Final answer
   x = 887.82