Finding the Third Proportional to 214,521 and 321,367.50

Step by Step Solution

1. Step 1: Write the proportion equation
   214,521 : 321,367.50 = 321,367.50 : x
2. Step 2: Convert to fraction form
   214,521/321,367.50 = 321,367.50/x
3. Step 3: Cross multiply
   214,521x = 321,367.50 × 321,367.50
4. Step 4: Simplify right side
   214,521x = 103,277,070,056.25
5. Step 5: Solve for x
   x = 103,277,070,056.25/214,521
6. Step 6: Final answer
   x = 481,431.05