Finding the Third Proportional to 137,360 and 196,056

Step by Step Solution

1. Step 1: Write the proportion equation
   137,360 : 196,056 = 196,056 : x
2. Step 2: Convert to fraction form
   137,360/196,056 = 196,056/x
3. Step 3: Cross multiply
   137,360x = 196,056 × 196,056
4. Step 4: Simplify right side
   137,360x = 38,437,955,136
5. Step 5: Solve for x
   x = 38,437,955,136/137,360
6. Step 6: Final answer
   x = 279,833.69