Finding the Third Proportional to 214,870.50 and 331,645.50

Step by Step Solution

1. Step 1: Write the proportion equation
   214,870.50 : 331,645.50 = 331,645.50 : x
2. Step 2: Convert to fraction form
   214,870.50/331,645.50 = 331,645.50/x
3. Step 3: Cross multiply
   214,870.50x = 331,645.50 × 331,645.50
4. Step 4: Simplify right side
   214,870.50x = 109,988,737,670.25
5. Step 5: Solve for x
   x = 109,988,737,670.25/214,870.50
6. Step 6: Final answer
   x = 511,883.84