Finding the Third Proportional to 144,337.50 and 314,878.50

Step by Step Solution

1. Step 1: Write the proportion equation
   144,337.50 : 314,878.50 = 314,878.50 : x
2. Step 2: Convert to fraction form
   144,337.50/314,878.50 = 314,878.50/x
3. Step 3: Cross multiply
   144,337.50x = 314,878.50 × 314,878.50
4. Step 4: Simplify right side
   144,337.50x = 99,148,469,762.25
5. Step 5: Solve for x
   x = 99,148,469,762.25/144,337.50
6. Step 6: Final answer
   x = 686,921.07