Finding the Third Proportional to 116,406 and 254,136

Step by Step Solution

1. Step 1: Write the proportion equation
   116,406 : 254,136 = 254,136 : x
2. Step 2: Convert to fraction form
   116,406/254,136 = 254,136/x
3. Step 3: Cross multiply
   116,406x = 254,136 × 254,136
4. Step 4: Simplify right side
   116,406x = 64,585,106,496
5. Step 5: Solve for x
   x = 64,585,106,496/116,406
6. Step 6: Final answer
   x = 554,826.27