Finding the Third Proportional to 83,184 and 171,264

Step by Step Solution

1. Step 1: Write the proportion equation
   83,184 : 171,264 = 171,264 : x
2. Step 2: Convert to fraction form
   83,184/171,264 = 171,264/x
3. Step 3: Cross multiply
   83,184x = 171,264 × 171,264
4. Step 4: Simplify right side
   83,184x = 29,331,357,696
5. Step 5: Solve for x
   x = 29,331,357,696/83,184
6. Step 6: Final answer
   x = 352,608.17