Finding the Third Proportional to 470 and 801.50

Step by Step Solution

1. Step 1: Write the proportion equation
   470 : 801.50 = 801.50 : x
2. Step 2: Convert to fraction form
   470/801.50 = 801.50/x
3. Step 3: Cross multiply
   470x = 801.50 × 801.50
4. Step 4: Simplify right side
   470x = 642,402.25
5. Step 5: Solve for x
   x = 642,402.25/470
6. Step 6: Final answer
   x = 1,366.81