Finding the Third Proportional to 526.50 and 696.52

Step by Step Solution

1. Step 1: Write the proportion equation
   526.50 : 696.52 = 696.52 : x
2. Step 2: Convert to fraction form
   526.50/696.52 = 696.52/x
3. Step 3: Cross multiply
   526.50x = 696.52 × 696.52
4. Step 4: Simplify right side
   526.50x = 485,134.02
5. Step 5: Solve for x
   x = 485,134.02/526.50
6. Step 6: Final answer
   x = 921.43