Finding the Third Proportional to 144,156 and 215,657

Step by Step Solution

1. Step 1: Write the proportion equation
   144,156 : 215,657 = 215,657 : x
2. Step 2: Convert to fraction form
   144,156/215,657 = 215,657/x
3. Step 3: Cross multiply
   144,156x = 215,657 × 215,657
4. Step 4: Simplify right side
   144,156x = 46,507,941,649
5. Step 5: Solve for x
   x = 46,507,941,649/144,156
6. Step 6: Final answer
   x = 322,622.31