Finding the Third Proportional to 108,694.50 and 171,796.50

Step by Step Solution

1. Step 1: Write the proportion equation
   108,694.50 : 171,796.50 = 171,796.50 : x
2. Step 2: Convert to fraction form
   108,694.50/171,796.50 = 171,796.50/x
3. Step 3: Cross multiply
   108,694.50x = 171,796.50 × 171,796.50
4. Step 4: Simplify right side
   108,694.50x = 29,514,037,412.25
5. Step 5: Solve for x
   x = 29,514,037,412.25/108,694.50
6. Step 6: Final answer
   x = 271,532.02