Finding the Third Proportional to 59,196 and 130,056

Step by Step Solution

1. Step 1: Write the proportion equation
   59,196 : 130,056 = 130,056 : x
2. Step 2: Convert to fraction form
   59,196/130,056 = 130,056/x
3. Step 3: Cross multiply
   59,196x = 130,056 × 130,056
4. Step 4: Simplify right side
   59,196x = 16,914,563,136
5. Step 5: Solve for x
   x = 16,914,563,136/59,196
6. Step 6: Final answer
   x = 285,738.28