Finding the Third Proportional to 142,902 and 210,078

Step by Step Solution

1. Step 1: Write the proportion equation
   142,902 : 210,078 = 210,078 : x
2. Step 2: Convert to fraction form
   142,902/210,078 = 210,078/x
3. Step 3: Cross multiply
   142,902x = 210,078 × 210,078
4. Step 4: Simplify right side
   142,902x = 44,132,766,084
5. Step 5: Solve for x
   x = 44,132,766,084/142,902
6. Step 6: Final answer
   x = 308,832.39