Finding the Third Proportional to 81,042 and 174,072

Step by Step Solution

1. Step 1: Write the proportion equation
   81,042 : 174,072 = 174,072 : x
2. Step 2: Convert to fraction form
   81,042/174,072 = 174,072/x
3. Step 3: Cross multiply
   81,042x = 174,072 × 174,072
4. Step 4: Simplify right side
   81,042x = 30,301,061,184
5. Step 5: Solve for x
   x = 30,301,061,184/81,042
6. Step 6: Final answer
   x = 373,893.30