Finding the Third Proportional to 282,681 and 437,144

Step by Step Solution

1. Step 1: Write the proportion equation
   282,681 : 437,144 = 437,144 : x
2. Step 2: Convert to fraction form
   282,681/437,144 = 437,144/x
3. Step 3: Cross multiply
   282,681x = 437,144 × 437,144
4. Step 4: Simplify right side
   282,681x = 191,094,876,736
5. Step 5: Solve for x
   x = 191,094,876,736/282,681
6. Step 6: Final answer
   x = 676,008.92