Finding the Third Proportional to 321,799.50 and 472,716

Step by Step Solution

1. Step 1: Write the proportion equation
   321,799.50 : 472,716 = 472,716 : x
2. Step 2: Convert to fraction form
   321,799.50/472,716 = 472,716/x
3. Step 3: Cross multiply
   321,799.50x = 472,716 × 472,716
4. Step 4: Simplify right side
   321,799.50x = 223,460,416,656
5. Step 5: Solve for x
   x = 223,460,416,656/321,799.50
6. Step 6: Final answer
   x = 694,408.84