Finding the Third Proportional to 83,548 and 180,136

Step by Step Solution

1. Step 1: Write the proportion equation
   83,548 : 180,136 = 180,136 : x
2. Step 2: Convert to fraction form
   83,548/180,136 = 180,136/x
3. Step 3: Cross multiply
   83,548x = 180,136 × 180,136
4. Step 4: Simplify right side
   83,548x = 32,448,978,496
5. Step 5: Solve for x
   x = 32,448,978,496/83,548
6. Step 6: Final answer
   x = 388,387.26