Finding the Third Proportional to 81,076 and 174,140

Step by Step Solution

1. Step 1: Write the proportion equation
   81,076 : 174,140 = 174,140 : x
2. Step 2: Convert to fraction form
   81,076/174,140 = 174,140/x
3. Step 3: Cross multiply
   81,076x = 174,140 × 174,140
4. Step 4: Simplify right side
   81,076x = 30,324,739,600
5. Step 5: Solve for x
   x = 30,324,739,600/81,076
6. Step 6: Final answer
   x = 374,028.56