Finding the Third Proportional to 83,136 and 179,584

Step by Step Solution

1. Step 1: Write the proportion equation
   83,136 : 179,584 = 179,584 : x
2. Step 2: Convert to fraction form
   83,136/179,584 = 179,584/x
3. Step 3: Cross multiply
   83,136x = 179,584 × 179,584
4. Step 4: Simplify right side
   83,136x = 32,250,413,056
5. Step 5: Solve for x
   x = 32,250,413,056/83,136
6. Step 6: Final answer
   x = 387,923.56