Finding the Third Proportional to 80,588 and 174,136

Step by Step Solution

1. Step 1: Write the proportion equation
   80,588 : 174,136 = 174,136 : x
2. Step 2: Convert to fraction form
   80,588/174,136 = 174,136/x
3. Step 3: Cross multiply
   80,588x = 174,136 × 174,136
4. Step 4: Simplify right side
   80,588x = 30,323,346,496
5. Step 5: Solve for x
   x = 30,323,346,496/80,588
6. Step 6: Final answer
   x = 376,276.20