Finding the Third Proportional to 142,024.50 and 305,507.25

Step by Step Solution

1. Step 1: Write the proportion equation
   142,024.50 : 305,507.25 = 305,507.25 : x
2. Step 2: Convert to fraction form
   142,024.50/305,507.25 = 305,507.25/x
3. Step 3: Cross multiply
   142,024.50x = 305,507.25 × 305,507.25
4. Step 4: Simplify right side
   142,024.50x = 93,334,679,802.56
5. Step 5: Solve for x
   x = 93,334,679,802.56/142,024.50
6. Step 6: Final answer
   x = 657,173.09