Finding the Third Proportional to 108,326 and 167,406.50

Step by Step Solution

1. Step 1: Write the proportion equation
   108,326 : 167,406.50 = 167,406.50 : x
2. Step 2: Convert to fraction form
   108,326/167,406.50 = 167,406.50/x
3. Step 3: Cross multiply
   108,326x = 167,406.50 × 167,406.50
4. Step 4: Simplify right side
   108,326x = 28,024,936,242.25
5. Step 5: Solve for x
   x = 28,024,936,242.25/108,326
6. Step 6: Final answer
   x = 258,709.23