Finding the Third Proportional to 65,646 and 144,056.25

Step by Step Solution

1. Step 1: Write the proportion equation
   65,646 : 144,056.25 = 144,056.25 : x
2. Step 2: Convert to fraction form
   65,646/144,056.25 = 144,056.25/x
3. Step 3: Cross multiply
   65,646x = 144,056.25 × 144,056.25
4. Step 4: Simplify right side
   65,646x = 20,752,203,164.06
5. Step 5: Solve for x
   x = 20,752,203,164.06/65,646
6. Step 6: Final answer
   x = 316,122.89