Finding the Third Proportional to 526.88 and 619.69

Step by Step Solution

1. Step 1: Write the proportion equation
   526.88 : 619.69 = 619.69 : x
2. Step 2: Convert to fraction form
   526.88/619.69 = 619.69/x
3. Step 3: Cross multiply
   526.88x = 619.69 × 619.69
4. Step 4: Simplify right side
   526.88x = 384,012.60
5. Step 5: Solve for x
   x = 384,012.60/526.88
6. Step 6: Final answer
   x = 728.85