Finding the Third Proportional to 81,501 and 171,852

Step by Step Solution

1. Step 1: Write the proportion equation
   81,501 : 171,852 = 171,852 : x
2. Step 2: Convert to fraction form
   81,501/171,852 = 171,852/x
3. Step 3: Cross multiply
   81,501x = 171,852 × 171,852
4. Step 4: Simplify right side
   81,501x = 29,533,109,904
5. Step 5: Solve for x
   x = 29,533,109,904/81,501
6. Step 6: Final answer
   x = 362,365.00