Finding the Third Proportional to 336,404 and 506,012

Step by Step Solution

1. Step 1: Write the proportion equation
   336,404 : 506,012 = 506,012 : x
2. Step 2: Convert to fraction form
   336,404/506,012 = 506,012/x
3. Step 3: Cross multiply
   336,404x = 506,012 × 506,012
4. Step 4: Simplify right side
   336,404x = 256,048,144,144
5. Step 5: Solve for x
   x = 256,048,144,144/336,404
6. Step 6: Final answer
   x = 761,132.88