Finding the Third Proportional to 214,426.50 and 314,476.50

Step by Step Solution

1. Step 1: Write the proportion equation
   214,426.50 : 314,476.50 = 314,476.50 : x
2. Step 2: Convert to fraction form
   214,426.50/314,476.50 = 314,476.50/x
3. Step 3: Cross multiply
   214,426.50x = 314,476.50 × 314,476.50
4. Step 4: Simplify right side
   214,426.50x = 98,895,469,052.25
5. Step 5: Solve for x
   x = 98,895,469,052.25/214,426.50
6. Step 6: Final answer
   x = 461,209.17