Finding the Third Proportional to 275,256 and 402,262.50

Step by Step Solution

1. Step 1: Write the proportion equation
   275,256 : 402,262.50 = 402,262.50 : x
2. Step 2: Convert to fraction form
   275,256/402,262.50 = 402,262.50/x
3. Step 3: Cross multiply
   275,256x = 402,262.50 × 402,262.50
4. Step 4: Simplify right side
   275,256x = 161,815,118,906.25
5. Step 5: Solve for x
   x = 161,815,118,906.25/275,256
6. Step 6: Final answer
   x = 587,871.36