Finding the Third Proportional to 81,513.50 and 171,889.75

Step by Step Solution

1. Step 1: Write the proportion equation
   81,513.50 : 171,889.75 = 171,889.75 : x
2. Step 2: Convert to fraction form
   81,513.50/171,889.75 = 171,889.75/x
3. Step 3: Cross multiply
   81,513.50x = 171,889.75 × 171,889.75
4. Step 4: Simplify right side
   81,513.50x = 29,546,086,155.06
5. Step 5: Solve for x
   x = 29,546,086,155.06/81,513.50
6. Step 6: Final answer
   x = 362,468.62