Finding the Third Proportional to 116,136 and 173,754

Step by Step Solution

1. Step 1: Write the proportion equation
   116,136 : 173,754 = 173,754 : x
2. Step 2: Convert to fraction form
   116,136/173,754 = 173,754/x
3. Step 3: Cross multiply
   116,136x = 173,754 × 173,754
4. Step 4: Simplify right side
   116,136x = 30,190,452,516
5. Step 5: Solve for x
   x = 30,190,452,516/116,136
6. Step 6: Final answer
   x = 259,957.74