Finding the Third Proportional to 108,092 and 172,675.50

Step by Step Solution

1. Step 1: Write the proportion equation
   108,092 : 172,675.50 = 172,675.50 : x
2. Step 2: Convert to fraction form
   108,092/172,675.50 = 172,675.50/x
3. Step 3: Cross multiply
   108,092x = 172,675.50 × 172,675.50
4. Step 4: Simplify right side
   108,092x = 29,816,828,300.25
5. Step 5: Solve for x
   x = 29,816,828,300.25/108,092
6. Step 6: Final answer
   x = 275,846.76