Finding the Third Proportional to 510,441.75 and 693,643.50

Step by Step Solution

1. Step 1: Write the proportion equation
   510,441.75 : 693,643.50 = 693,643.50 : x
2. Step 2: Convert to fraction form
   510,441.75/693,643.50 = 693,643.50/x
3. Step 3: Cross multiply
   510,441.75x = 693,643.50 × 693,643.50
4. Step 4: Simplify right side
   510,441.75x = 481,141,305,092.25
5. Step 5: Solve for x
   x = 481,141,305,092.25/510,441.75
6. Step 6: Final answer
   x = 942,597.87