Finding the Third Proportional to 345.50 and 525.25

Step by Step Solution

1. Step 1: Write the proportion equation
   345.50 : 525.25 = 525.25 : x
2. Step 2: Convert to fraction form
   345.50/525.25 = 525.25/x
3. Step 3: Cross multiply
   345.50x = 525.25 × 525.25
4. Step 4: Simplify right side
   345.50x = 275,887.56
5. Step 5: Solve for x
   x = 275,887.56/345.50
6. Step 6: Final answer
   x = 798.52