Finding the Third Proportional to 52,420 and 114,056

Step by Step Solution

1. Step 1: Write the proportion equation
   52,420 : 114,056 = 114,056 : x
2. Step 2: Convert to fraction form
   52,420/114,056 = 114,056/x
3. Step 3: Cross multiply
   52,420x = 114,056 × 114,056
4. Step 4: Simplify right side
   52,420x = 13,008,771,136
5. Step 5: Solve for x
   x = 13,008,771,136/52,420
6. Step 6: Final answer
   x = 248,164.27