Finding the Third Proportional to 80,844 and 174,594

Step by Step Solution

1. Step 1: Write the proportion equation
   80,844 : 174,594 = 174,594 : x
2. Step 2: Convert to fraction form
   80,844/174,594 = 174,594/x
3. Step 3: Cross multiply
   80,844x = 174,594 × 174,594
4. Step 4: Simplify right side
   80,844x = 30,483,064,836
5. Step 5: Solve for x
   x = 30,483,064,836/80,844
6. Step 6: Final answer
   x = 377,060.32