Finding the Third Proportional to 103,636 and 158,461

Step by Step Solution

1. Step 1: Write the proportion equation
   103,636 : 158,461 = 158,461 : x
2. Step 2: Convert to fraction form
   103,636/158,461 = 158,461/x
3. Step 3: Cross multiply
   103,636x = 158,461 × 158,461
4. Step 4: Simplify right side
   103,636x = 25,109,888,521
5. Step 5: Solve for x
   x = 25,109,888,521/103,636
6. Step 6: Final answer
   x = 242,289.25