Finding the Third Proportional to 105,306 and 152,412

Step by Step Solution

1. Step 1: Write the proportion equation
   105,306 : 152,412 = 152,412 : x
2. Step 2: Convert to fraction form
   105,306/152,412 = 152,412/x
3. Step 3: Cross multiply
   105,306x = 152,412 × 152,412
4. Step 4: Simplify right side
   105,306x = 23,229,417,744
5. Step 5: Solve for x
   x = 23,229,417,744/105,306
6. Step 6: Final answer
   x = 220,589.69