Finding the Third Proportional to 526.78 and 942.47

Step by Step Solution

1. Step 1: Write the proportion equation
   526.78 : 942.47 = 942.47 : x
2. Step 2: Convert to fraction form
   526.78/942.47 = 942.47/x
3. Step 3: Cross multiply
   526.78x = 942.47 × 942.47
4. Step 4: Simplify right side
   526.78x = 888,247.34
5. Step 5: Solve for x
   x = 888,247.34/526.78
6. Step 6: Final answer
   x = 1,686.18