Finding the Third Proportional to 214,518 and 315,580.50

Step by Step Solution

1. Step 1: Write the proportion equation
   214,518 : 315,580.50 = 315,580.50 : x
2. Step 2: Convert to fraction form
   214,518/315,580.50 = 315,580.50/x
3. Step 3: Cross multiply
   214,518x = 315,580.50 × 315,580.50
4. Step 4: Simplify right side
   214,518x = 99,591,051,980.25
5. Step 5: Solve for x
   x = 99,591,051,980.25/214,518
6. Step 6: Final answer
   x = 464,254.99