Finding the Third Proportional to 497,907 and 691,638.75

Step by Step Solution

1. Step 1: Write the proportion equation
   497,907 : 691,638.75 = 691,638.75 : x
2. Step 2: Convert to fraction form
   497,907/691,638.75 = 691,638.75/x
3. Step 3: Cross multiply
   497,907x = 691,638.75 × 691,638.75
4. Step 4: Simplify right side
   497,907x = 478,364,160,501.56
5. Step 5: Solve for x
   x = 478,364,160,501.56/497,907
6. Step 6: Final answer
   x = 960,750.02