Finding the Third Proportional to 218,883 and 314,500.50

Step by Step Solution

1. Step 1: Write the proportion equation
   218,883 : 314,500.50 = 314,500.50 : x
2. Step 2: Convert to fraction form
   218,883/314,500.50 = 314,500.50/x
3. Step 3: Cross multiply
   218,883x = 314,500.50 × 314,500.50
4. Step 4: Simplify right side
   218,883x = 98,910,564,500.25
5. Step 5: Solve for x
   x = 98,910,564,500.25/218,883
6. Step 6: Final answer
   x = 451,887.83