Finding the Third Proportional to 142,054.50 and 315,640.50

Step by Step Solution

1. Step 1: Write the proportion equation
   142,054.50 : 315,640.50 = 315,640.50 : x
2. Step 2: Convert to fraction form
   142,054.50/315,640.50 = 315,640.50/x
3. Step 3: Cross multiply
   142,054.50x = 315,640.50 × 315,640.50
4. Step 4: Simplify right side
   142,054.50x = 99,628,925,240.25
5. Step 5: Solve for x
   x = 99,628,925,240.25/142,054.50
6. Step 6: Final answer
   x = 701,342.97