Finding the Third Proportional to 64,963.50 and 142,327.50

Step by Step Solution

1. Step 1: Write the proportion equation
   64,963.50 : 142,327.50 = 142,327.50 : x
2. Step 2: Convert to fraction form
   64,963.50/142,327.50 = 142,327.50/x
3. Step 3: Cross multiply
   64,963.50x = 142,327.50 × 142,327.50
4. Step 4: Simplify right side
   64,963.50x = 20,257,117,256.25
5. Step 5: Solve for x
   x = 20,257,117,256.25/64,963.50
6. Step 6: Final answer
   x = 311,823.06