Finding the Third Proportional to 140,460 and 205,434

Step by Step Solution

1. Step 1: Write the proportion equation
   140,460 : 205,434 = 205,434 : x
2. Step 2: Convert to fraction form
   140,460/205,434 = 205,434/x
3. Step 3: Cross multiply
   140,460x = 205,434 × 205,434
4. Step 4: Simplify right side
   140,460x = 42,203,128,356
5. Step 5: Solve for x
   x = 42,203,128,356/140,460
6. Step 6: Final answer
   x = 300,463.68