Finding the Third Proportional to 108,296 and 167,362

Step by Step Solution

1. Step 1: Write the proportion equation
   108,296 : 167,362 = 167,362 : x
2. Step 2: Convert to fraction form
   108,296/167,362 = 167,362/x
3. Step 3: Cross multiply
   108,296x = 167,362 × 167,362
4. Step 4: Simplify right side
   108,296x = 28,010,039,044
5. Step 5: Solve for x
   x = 28,010,039,044/108,296
6. Step 6: Final answer
   x = 258,643.34