Finding the Third Proportional to 214,461 and 315,445.50

Step by Step Solution

1. Step 1: Write the proportion equation
   214,461 : 315,445.50 = 315,445.50 : x
2. Step 2: Convert to fraction form
   214,461/315,445.50 = 315,445.50/x
3. Step 3: Cross multiply
   214,461x = 315,445.50 × 315,445.50
4. Step 4: Simplify right side
   214,461x = 99,505,863,470.25
5. Step 5: Solve for x
   x = 99,505,863,470.25/214,461
6. Step 6: Final answer
   x = 463,981.16