Finding the Third Proportional to 174,526 and 280,012

Step by Step Solution

1. Step 1: Write the proportion equation
   174,526 : 280,012 = 280,012 : x
2. Step 2: Convert to fraction form
   174,526/280,012 = 280,012/x
3. Step 3: Cross multiply
   174,526x = 280,012 × 280,012
4. Step 4: Simplify right side
   174,526x = 78,406,720,144
5. Step 5: Solve for x
   x = 78,406,720,144/174,526
6. Step 6: Final answer
   x = 449,255.24