Finding the Third Proportional to 111,636 and 151,593

Step by Step Solution

1. Step 1: Write the proportion equation
   111,636 : 151,593 = 151,593 : x
2. Step 2: Convert to fraction form
   111,636/151,593 = 151,593/x
3. Step 3: Cross multiply
   111,636x = 151,593 × 151,593
4. Step 4: Simplify right side
   111,636x = 22,980,437,649
5. Step 5: Solve for x
   x = 22,980,437,649/111,636
6. Step 6: Final answer
   x = 205,851.50