Finding the Third Proportional to 78,492 and 171,654

Step by Step Solution

1. Step 1: Write the proportion equation
   78,492 : 171,654 = 171,654 : x
2. Step 2: Convert to fraction form
   78,492/171,654 = 171,654/x
3. Step 3: Cross multiply
   78,492x = 171,654 × 171,654
4. Step 4: Simplify right side
   78,492x = 29,465,095,716
5. Step 5: Solve for x
   x = 29,465,095,716/78,492
6. Step 6: Final answer
   x = 375,389.79