Finding the Third Proportional to 468.75 and 700.50

Step by Step Solution

1. Step 1: Write the proportion equation
   468.75 : 700.50 = 700.50 : x
2. Step 2: Convert to fraction form
   468.75/700.50 = 700.50/x
3. Step 3: Cross multiply
   468.75x = 700.50 × 700.50
4. Step 4: Simplify right side
   468.75x = 490,700.25
5. Step 5: Solve for x
   x = 490,700.25/468.75
6. Step 6: Final answer
   x = 1,046.83