Finding the Third Proportional to 103,636 and 137,562

Step by Step Solution

1. Step 1: Write the proportion equation
   103,636 : 137,562 = 137,562 : x
2. Step 2: Convert to fraction form
   103,636/137,562 = 137,562/x
3. Step 3: Cross multiply
   103,636x = 137,562 × 137,562
4. Step 4: Simplify right side
   103,636x = 18,923,303,844
5. Step 5: Solve for x
   x = 18,923,303,844/103,636
6. Step 6: Final answer
   x = 182,593.92