Finding the Third Proportional to 81,024 and 174,264

Step by Step Solution

1. Step 1: Write the proportion equation
   81,024 : 174,264 = 174,264 : x
2. Step 2: Convert to fraction form
   81,024/174,264 = 174,264/x
3. Step 3: Cross multiply
   81,024x = 174,264 × 174,264
4. Step 4: Simplify right side
   81,024x = 30,367,941,696
5. Step 5: Solve for x
   x = 30,367,941,696/81,024
6. Step 6: Final answer
   x = 374,801.81