Finding the Third Proportional to 144,001.50 and 314,205

Step by Step Solution

1. Step 1: Write the proportion equation
   144,001.50 : 314,205 = 314,205 : x
2. Step 2: Convert to fraction form
   144,001.50/314,205 = 314,205/x
3. Step 3: Cross multiply
   144,001.50x = 314,205 × 314,205
4. Step 4: Simplify right side
   144,001.50x = 98,724,782,025
5. Step 5: Solve for x
   x = 98,724,782,025/144,001.50
6. Step 6: Final answer
   x = 685,581.62