Finding the Third Proportional to 78,362 and 174,164

Step by Step Solution

1. Step 1: Write the proportion equation
   78,362 : 174,164 = 174,164 : x
2. Step 2: Convert to fraction form
   78,362/174,164 = 174,164/x
3. Step 3: Cross multiply
   78,362x = 174,164 × 174,164
4. Step 4: Simplify right side
   78,362x = 30,333,098,896
5. Step 5: Solve for x
   x = 30,333,098,896/78,362
6. Step 6: Final answer
   x = 387,089.39