Finding the Third Proportional to 106,315 and 144,448.50

Step by Step Solution

1. Step 1: Write the proportion equation
   106,315 : 144,448.50 = 144,448.50 : x
2. Step 2: Convert to fraction form
   106,315/144,448.50 = 144,448.50/x
3. Step 3: Cross multiply
   106,315x = 144,448.50 × 144,448.50
4. Step 4: Simplify right side
   106,315x = 20,865,369,152.25
5. Step 5: Solve for x
   x = 20,865,369,152.25/106,315
6. Step 6: Final answer
   x = 196,259.88