Finding the Third Proportional to 144,346.50 and 314,856

Step by Step Solution

1. Step 1: Write the proportion equation
   144,346.50 : 314,856 = 314,856 : x
2. Step 2: Convert to fraction form
   144,346.50/314,856 = 314,856/x
3. Step 3: Cross multiply
   144,346.50x = 314,856 × 314,856
4. Step 4: Simplify right side
   144,346.50x = 99,134,300,736
5. Step 5: Solve for x
   x = 99,134,300,736/144,346.50
6. Step 6: Final answer
   x = 686,780.08