Finding the Third Proportional to 144,588.50 and 306,672.50

Step by Step Solution

1. Step 1: Write the proportion equation
   144,588.50 : 306,672.50 = 306,672.50 : x
2. Step 2: Convert to fraction form
   144,588.50/306,672.50 = 306,672.50/x
3. Step 3: Cross multiply
   144,588.50x = 306,672.50 × 306,672.50
4. Step 4: Simplify right side
   144,588.50x = 94,048,022,256.25
5. Step 5: Solve for x
   x = 94,048,022,256.25/144,588.50
6. Step 6: Final answer
   x = 650,452.99