Finding the Third Proportional to 656,991 and 726,111

Step by Step Solution

1. Step 1: Write the proportion equation
   656,991 : 726,111 = 726,111 : x
2. Step 2: Convert to fraction form
   656,991/726,111 = 726,111/x
3. Step 3: Cross multiply
   656,991x = 726,111 × 726,111
4. Step 4: Simplify right side
   656,991x = 527,237,184,321
5. Step 5: Solve for x
   x = 527,237,184,321/656,991
6. Step 6: Final answer
   x = 802,502.90