Finding the Third Proportional to 106,393.50 and 259,969.50

Step by Step Solution

1. Step 1: Write the proportion equation
   106,393.50 : 259,969.50 = 259,969.50 : x
2. Step 2: Convert to fraction form
   106,393.50/259,969.50 = 259,969.50/x
3. Step 3: Cross multiply
   106,393.50x = 259,969.50 × 259,969.50
4. Step 4: Simplify right side
   106,393.50x = 67,584,140,930.25
5. Step 5: Solve for x
   x = 67,584,140,930.25/106,393.50
6. Step 6: Final answer
   x = 635,228.10