Finding the Third Proportional to 498,196 and 793,109

Step by Step Solution

1. Step 1: Write the proportion equation
   498,196 : 793,109 = 793,109 : x
2. Step 2: Convert to fraction form
   498,196/793,109 = 793,109/x
3. Step 3: Cross multiply
   498,196x = 793,109 × 793,109
4. Step 4: Simplify right side
   498,196x = 629,021,885,881
5. Step 5: Solve for x
   x = 629,021,885,881/498,196
6. Step 6: Final answer
   x = 1,262,599.23