Finding the Third Proportional to 81,591 and 172,969.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,591 : 172,969.50 = 172,969.50 : x
2. Step 2: Convert to fraction form
   81,591/172,969.50 = 172,969.50/x
3. Step 3: Cross multiply
   81,591x = 172,969.50 × 172,969.50
4. Step 4: Simplify right side
   81,591x = 29,918,447,930.25
5. Step 5: Solve for x
   x = 29,918,447,930.25/81,591
6. Step 6: Final answer
   x = 366,688.09