Finding the Third Proportional to 214,111.50 and 466,374

Step by Step Solution

1. Step 1: Write the proportion equation
   214,111.50 : 466,374 = 466,374 : x
2. Step 2: Convert to fraction form
   214,111.50/466,374 = 466,374/x
3. Step 3: Cross multiply
   214,111.50x = 466,374 × 466,374
4. Step 4: Simplify right side
   214,111.50x = 217,504,707,876
5. Step 5: Solve for x
   x = 217,504,707,876/214,111.50
6. Step 6: Final answer
   x = 1,015,847.85