Finding the Third Proportional to 359.86 and 526.50

Step by Step Solution

1. Step 1: Write the proportion equation
   359.86 : 526.50 = 526.50 : x
2. Step 2: Convert to fraction form
   359.86/526.50 = 526.50/x
3. Step 3: Cross multiply
   359.86x = 526.50 × 526.50
4. Step 4: Simplify right side
   359.86x = 277,202.25
5. Step 5: Solve for x
   x = 277,202.25/359.86
6. Step 6: Final answer
   x = 770.31