Finding the Third Proportional to 78,338 and 174,116

Step by Step Solution

1. Step 1: Write the proportion equation
   78,338 : 174,116 = 174,116 : x
2. Step 2: Convert to fraction form
   78,338/174,116 = 174,116/x
3. Step 3: Cross multiply
   78,338x = 174,116 × 174,116
4. Step 4: Simplify right side
   78,338x = 30,316,381,456
5. Step 5: Solve for x
   x = 30,316,381,456/78,338
6. Step 6: Final answer
   x = 386,994.58