Finding the Third Proportional to 78,328 and 174,584

Step by Step Solution

1. Step 1: Write the proportion equation
   78,328 : 174,584 = 174,584 : x
2. Step 2: Convert to fraction form
   78,328/174,584 = 174,584/x
3. Step 3: Cross multiply
   78,328x = 174,584 × 174,584
4. Step 4: Simplify right side
   78,328x = 30,479,573,056
5. Step 5: Solve for x
   x = 30,479,573,056/78,328
6. Step 6: Final answer
   x = 389,127.43