Finding the Third Proportional to 144,003.50 and 314,210

Step by Step Solution

1. Step 1: Write the proportion equation
   144,003.50 : 314,210 = 314,210 : x
2. Step 2: Convert to fraction form
   144,003.50/314,210 = 314,210/x
3. Step 3: Cross multiply
   144,003.50x = 314,210 × 314,210
4. Step 4: Simplify right side
   144,003.50x = 98,727,924,100
5. Step 5: Solve for x
   x = 98,727,924,100/144,003.50
6. Step 6: Final answer
   x = 685,593.92