Finding the Third Proportional to 142,123.50 and 305,752.50

Step by Step Solution

1. Step 1: Write the proportion equation
   142,123.50 : 305,752.50 = 305,752.50 : x
2. Step 2: Convert to fraction form
   142,123.50/305,752.50 = 305,752.50/x
3. Step 3: Cross multiply
   142,123.50x = 305,752.50 × 305,752.50
4. Step 4: Simplify right side
   142,123.50x = 93,484,591,256.25
5. Step 5: Solve for x
   x = 93,484,591,256.25/142,123.50
6. Step 6: Final answer
   x = 657,770.12