Finding the Third Proportional to 259,041 and 344,308.50

Step by Step Solution

1. Step 1: Write the proportion equation
   259,041 : 344,308.50 = 344,308.50 : x
2. Step 2: Convert to fraction form
   259,041/344,308.50 = 344,308.50/x
3. Step 3: Cross multiply
   259,041x = 344,308.50 × 344,308.50
4. Step 4: Simplify right side
   259,041x = 118,548,343,172.25
5. Step 5: Solve for x
   x = 118,548,343,172.25/259,041
6. Step 6: Final answer
   x = 457,643.17