Finding the Third Proportional to 119,681.25 and 259,308.50

Step by Step Solution

1. Step 1: Write the proportion equation
   119,681.25 : 259,308.50 = 259,308.50 : x
2. Step 2: Convert to fraction form
   119,681.25/259,308.50 = 259,308.50/x
3. Step 3: Cross multiply
   119,681.25x = 259,308.50 × 259,308.50
4. Step 4: Simplify right side
   119,681.25x = 67,240,898,172.25
5. Step 5: Solve for x
   x = 67,240,898,172.25/119,681.25
6. Step 6: Final answer
   x = 561,833.19