Finding the Third Proportional to 59,642 and 122,056

Step by Step Solution

1. Step 1: Write the proportion equation
   59,642 : 122,056 = 122,056 : x
2. Step 2: Convert to fraction form
   59,642/122,056 = 122,056/x
3. Step 3: Cross multiply
   59,642x = 122,056 × 122,056
4. Step 4: Simplify right side
   59,642x = 14,897,667,136
5. Step 5: Solve for x
   x = 14,897,667,136/59,642
6. Step 6: Final answer
   x = 249,784.84