Finding the Third Proportional to 105,210 and 152,286

Step by Step Solution

1. Step 1: Write the proportion equation
   105,210 : 152,286 = 152,286 : x
2. Step 2: Convert to fraction form
   105,210/152,286 = 152,286/x
3. Step 3: Cross multiply
   105,210x = 152,286 × 152,286
4. Step 4: Simplify right side
   105,210x = 23,191,025,796
5. Step 5: Solve for x
   x = 23,191,025,796/105,210
6. Step 6: Final answer
   x = 220,426.06