Finding the Third Proportional to 105,592 and 153,636

Step by Step Solution

1. Step 1: Write the proportion equation
   105,592 : 153,636 = 153,636 : x
2. Step 2: Convert to fraction form
   105,592/153,636 = 153,636/x
3. Step 3: Cross multiply
   105,592x = 153,636 × 153,636
4. Step 4: Simplify right side
   105,592x = 23,604,020,496
5. Step 5: Solve for x
   x = 23,604,020,496/105,592
6. Step 6: Final answer
   x = 223,539.86