Finding the Third Proportional to 105,228 and 152,312

Step by Step Solution

1. Step 1: Write the proportion equation
   105,228 : 152,312 = 152,312 : x
2. Step 2: Convert to fraction form
   105,228/152,312 = 152,312/x
3. Step 3: Cross multiply
   105,228x = 152,312 × 152,312
4. Step 4: Simplify right side
   105,228x = 23,198,945,344
5. Step 5: Solve for x
   x = 23,198,945,344/105,228
6. Step 6: Final answer
   x = 220,463.62