Finding the Third Proportional to 142,925 and 282,235.25

Step by Step Solution

1. Step 1: Write the proportion equation
   142,925 : 282,235.25 = 282,235.25 : x
2. Step 2: Convert to fraction form
   142,925/282,235.25 = 282,235.25/x
3. Step 3: Cross multiply
   142,925x = 282,235.25 × 282,235.25
4. Step 4: Simplify right side
   142,925x = 79,656,736,342.56
5. Step 5: Solve for x
   x = 79,656,736,342.56/142,925
6. Step 6: Final answer
   x = 557,332.42