Finding the Third Proportional to 79,813 and 174,584

Step by Step Solution

1. Step 1: Write the proportion equation
   79,813 : 174,584 = 174,584 : x
2. Step 2: Convert to fraction form
   79,813/174,584 = 174,584/x
3. Step 3: Cross multiply
   79,813x = 174,584 × 174,584
4. Step 4: Simplify right side
   79,813x = 30,479,573,056
5. Step 5: Solve for x
   x = 30,479,573,056/79,813
6. Step 6: Final answer
   x = 381,887.32