Finding the Third Proportional to 105,846 and 150,453

Step by Step Solution

1. Step 1: Write the proportion equation
   105,846 : 150,453 = 150,453 : x
2. Step 2: Convert to fraction form
   105,846/150,453 = 150,453/x
3. Step 3: Cross multiply
   105,846x = 150,453 × 150,453
4. Step 4: Simplify right side
   105,846x = 22,636,105,209
5. Step 5: Solve for x
   x = 22,636,105,209/105,846
6. Step 6: Final answer
   x = 213,858.86