Finding the Third Proportional to 275,526.56 and 421,498.69

Step by Step Solution

1. Step 1: Write the proportion equation
   275,526.56 : 421,498.69 = 421,498.69 : x
2. Step 2: Convert to fraction form
   275,526.56/421,498.69 = 421,498.69/x
3. Step 3: Cross multiply
   275,526.56x = 421,498.69 × 421,498.69
4. Step 4: Simplify right side
   275,526.56x = 177,661,143,564.22
5. Step 5: Solve for x
   x = 177,661,143,564.22/275,526.56
6. Step 6: Final answer
   x = 644,805.87