Finding the Third Proportional to 103,626 and 274,259.25

Step by Step Solution

1. Step 1: Write the proportion equation
   103,626 : 274,259.25 = 274,259.25 : x
2. Step 2: Convert to fraction form
   103,626/274,259.25 = 274,259.25/x
3. Step 3: Cross multiply
   103,626x = 274,259.25 × 274,259.25
4. Step 4: Simplify right side
   103,626x = 75,218,136,210.56
5. Step 5: Solve for x
   x = 75,218,136,210.56/103,626
6. Step 6: Final answer
   x = 725,861.62