Finding the Third Proportional to 52,136 and 126,020

Step by Step Solution

1. Step 1: Write the proportion equation
   52,136 : 126,020 = 126,020 : x
2. Step 2: Convert to fraction form
   52,136/126,020 = 126,020/x
3. Step 3: Cross multiply
   52,136x = 126,020 × 126,020
4. Step 4: Simplify right side
   52,136x = 15,881,040,400
5. Step 5: Solve for x
   x = 15,881,040,400/52,136
6. Step 6: Final answer
   x = 304,607.96