Finding the Third Proportional to 144,526 and 205,414

Step by Step Solution

1. Step 1: Write the proportion equation
   144,526 : 205,414 = 205,414 : x
2. Step 2: Convert to fraction form
   144,526/205,414 = 205,414/x
3. Step 3: Cross multiply
   144,526x = 205,414 × 205,414
4. Step 4: Simplify right side
   144,526x = 42,194,911,396
5. Step 5: Solve for x
   x = 42,194,911,396/144,526
6. Step 6: Final answer
   x = 291,953.78