Finding the Third Proportional to 105,754 and 152,796

Step by Step Solution

1. Step 1: Write the proportion equation
   105,754 : 152,796 = 152,796 : x
2. Step 2: Convert to fraction form
   105,754/152,796 = 152,796/x
3. Step 3: Cross multiply
   105,754x = 152,796 × 152,796
4. Step 4: Simplify right side
   105,754x = 23,346,617,616
5. Step 5: Solve for x
   x = 23,346,617,616/105,754
6. Step 6: Final answer
   x = 220,763.45