Finding the Third Proportional to 498,194 and 699,065

Step by Step Solution

1. Step 1: Write the proportion equation
   498,194 : 699,065 = 699,065 : x
2. Step 2: Convert to fraction form
   498,194/699,065 = 699,065/x
3. Step 3: Cross multiply
   498,194x = 699,065 × 699,065
4. Step 4: Simplify right side
   498,194x = 488,691,874,225
5. Step 5: Solve for x
   x = 488,691,874,225/498,194
6. Step 6: Final answer
   x = 980,926.86