Finding the Third Proportional to 81,499.50 and 171,848.25

Step by Step Solution

1. Step 1: Write the proportion equation
   81,499.50 : 171,848.25 = 171,848.25 : x
2. Step 2: Convert to fraction form
   81,499.50/171,848.25 = 171,848.25/x
3. Step 3: Cross multiply
   81,499.50x = 171,848.25 × 171,848.25
4. Step 4: Simplify right side
   81,499.50x = 29,531,821,028.06
5. Step 5: Solve for x
   x = 29,531,821,028.06/81,499.50
6. Step 6: Final answer
   x = 362,355.86