Finding the Third Proportional to 367,662 and 506,290

Step by Step Solution

1. Step 1: Write the proportion equation
   367,662 : 506,290 = 506,290 : x
2. Step 2: Convert to fraction form
   367,662/506,290 = 506,290/x
3. Step 3: Cross multiply
   367,662x = 506,290 × 506,290
4. Step 4: Simplify right side
   367,662x = 256,329,564,100
5. Step 5: Solve for x
   x = 256,329,564,100/367,662
6. Step 6: Final answer
   x = 697,188.08