Finding the Third Proportional to 49,384 and 102,056

Step by Step Solution

1. Step 1: Write the proportion equation
   49,384 : 102,056 = 102,056 : x
2. Step 2: Convert to fraction form
   49,384/102,056 = 102,056/x
3. Step 3: Cross multiply
   49,384x = 102,056 × 102,056
4. Step 4: Simplify right side
   49,384x = 10,415,427,136
5. Step 5: Solve for x
   x = 10,415,427,136/49,384
6. Step 6: Final answer
   x = 210,906.92