Finding the Third Proportional to 83,496 and 179,136

Step by Step Solution

1. Step 1: Write the proportion equation
   83,496 : 179,136 = 179,136 : x
2. Step 2: Convert to fraction form
   83,496/179,136 = 179,136/x
3. Step 3: Cross multiply
   83,496x = 179,136 × 179,136
4. Step 4: Simplify right side
   83,496x = 32,089,706,496
5. Step 5: Solve for x
   x = 32,089,706,496/83,496
6. Step 6: Final answer
   x = 384,326.27