Finding the Third Proportional to 254,256 and 345,308.50

Step by Step Solution

1. Step 1: Write the proportion equation
   254,256 : 345,308.50 = 345,308.50 : x
2. Step 2: Convert to fraction form
   254,256/345,308.50 = 345,308.50/x
3. Step 3: Cross multiply
   254,256x = 345,308.50 × 345,308.50
4. Step 4: Simplify right side
   254,256x = 119,237,960,172.25
5. Step 5: Solve for x
   x = 119,237,960,172.25/254,256
6. Step 6: Final answer
   x = 468,968.13