Finding the Third Proportional to 456.50 and 612.50

Step by Step Solution

1. Step 1: Write the proportion equation
   456.50 : 612.50 = 612.50 : x
2. Step 2: Convert to fraction form
   456.50/612.50 = 612.50/x
3. Step 3: Cross multiply
   456.50x = 612.50 × 612.50
4. Step 4: Simplify right side
   456.50x = 375,156.25
5. Step 5: Solve for x
   x = 375,156.25/456.50
6. Step 6: Final answer
   x = 821.81