Finding the Third Proportional to 116,720 and 256,136

Step by Step Solution

1. Step 1: Write the proportion equation
   116,720 : 256,136 = 256,136 : x
2. Step 2: Convert to fraction form
   116,720/256,136 = 256,136/x
3. Step 3: Cross multiply
   116,720x = 256,136 × 256,136
4. Step 4: Simplify right side
   116,720x = 65,605,650,496
5. Step 5: Solve for x
   x = 65,605,650,496/116,720
6. Step 6: Final answer
   x = 562,077.20