Finding the Third Proportional to 218,881.50 and 314,498.25

Step by Step Solution

1. Step 1: Write the proportion equation
   218,881.50 : 314,498.25 = 314,498.25 : x
2. Step 2: Convert to fraction form
   218,881.50/314,498.25 = 314,498.25/x
3. Step 3: Cross multiply
   218,881.50x = 314,498.25 × 314,498.25
4. Step 4: Simplify right side
   218,881.50x = 98,909,149,253.06
5. Step 5: Solve for x
   x = 98,909,149,253.06/218,881.50
6. Step 6: Final answer
   x = 451,884.46