Finding the Third Proportional to 321,851 and 472,923.50

Step by Step Solution

1. Step 1: Write the proportion equation
   321,851 : 472,923.50 = 472,923.50 : x
2. Step 2: Convert to fraction form
   321,851/472,923.50 = 472,923.50/x
3. Step 3: Cross multiply
   321,851x = 472,923.50 × 472,923.50
4. Step 4: Simplify right side
   321,851x = 223,656,636,852.25
5. Step 5: Solve for x
   x = 223,656,636,852.25/321,851
6. Step 6: Final answer
   x = 694,907.39