Finding the Third Proportional to 105,032 and 161,442

Step by Step Solution

1. Step 1: Write the proportion equation
   105,032 : 161,442 = 161,442 : x
2. Step 2: Convert to fraction form
   105,032/161,442 = 161,442/x
3. Step 3: Cross multiply
   105,032x = 161,442 × 161,442
4. Step 4: Simplify right side
   105,032x = 26,063,519,364
5. Step 5: Solve for x
   x = 26,063,519,364/105,032
6. Step 6: Final answer
   x = 248,148.37