Finding the Third Proportional to 214,692 and 315,472.50

Step by Step Solution

1. Step 1: Write the proportion equation
   214,692 : 315,472.50 = 315,472.50 : x
2. Step 2: Convert to fraction form
   214,692/315,472.50 = 315,472.50/x
3. Step 3: Cross multiply
   214,692x = 315,472.50 × 315,472.50
4. Step 4: Simplify right side
   214,692x = 99,522,898,256.25
5. Step 5: Solve for x
   x = 99,522,898,256.25/214,692
6. Step 6: Final answer
   x = 463,561.28