Finding the Third Proportional to 100,036 and 158,406

Step by Step Solution

1. Step 1: Write the proportion equation
   100,036 : 158,406 = 158,406 : x
2. Step 2: Convert to fraction form
   100,036/158,406 = 158,406/x
3. Step 3: Cross multiply
   100,036x = 158,406 × 158,406
4. Step 4: Simplify right side
   100,036x = 25,092,460,836
5. Step 5: Solve for x
   x = 25,092,460,836/100,036
6. Step 6: Final answer
   x = 250,834.31