Finding the Third Proportional to 259,180.50 and 405,700.50

Step by Step Solution

1. Step 1: Write the proportion equation
   259,180.50 : 405,700.50 = 405,700.50 : x
2. Step 2: Convert to fraction form
   259,180.50/405,700.50 = 405,700.50/x
3. Step 3: Cross multiply
   259,180.50x = 405,700.50 × 405,700.50
4. Step 4: Simplify right side
   259,180.50x = 164,592,895,700.25
5. Step 5: Solve for x
   x = 164,592,895,700.25/259,180.50
6. Step 6: Final answer
   x = 635,051.23