Finding the Third Proportional to 142,200 and 305,136

Step by Step Solution

1. Step 1: Write the proportion equation
   142,200 : 305,136 = 305,136 : x
2. Step 2: Convert to fraction form
   142,200/305,136 = 305,136/x
3. Step 3: Cross multiply
   142,200x = 305,136 × 305,136
4. Step 4: Simplify right side
   142,200x = 93,107,978,496
5. Step 5: Solve for x
   x = 93,107,978,496/142,200
6. Step 6: Final answer
   x = 654,767.78