Finding the Third Proportional to 105,229 and 152,314

Step by Step Solution

1. Step 1: Write the proportion equation
   105,229 : 152,314 = 152,314 : x
2. Step 2: Convert to fraction form
   105,229/152,314 = 152,314/x
3. Step 3: Cross multiply
   105,229x = 152,314 × 152,314
4. Step 4: Simplify right side
   105,229x = 23,199,554,596
5. Step 5: Solve for x
   x = 23,199,554,596/105,229
6. Step 6: Final answer
   x = 220,467.31