Finding the Third Proportional to 81,046 and 174,578

Step by Step Solution

1. Step 1: Write the proportion equation
   81,046 : 174,578 = 174,578 : x
2. Step 2: Convert to fraction form
   81,046/174,578 = 174,578/x
3. Step 3: Cross multiply
   81,046x = 174,578 × 174,578
4. Step 4: Simplify right side
   81,046x = 30,477,478,084
5. Step 5: Solve for x
   x = 30,477,478,084/81,046
6. Step 6: Final answer
   x = 376,051.60