Finding the Third Proportional to 256,554.75 and 402,456

Step by Step Solution

1. Step 1: Write the proportion equation
   256,554.75 : 402,456 = 402,456 : x
2. Step 2: Convert to fraction form
   256,554.75/402,456 = 402,456/x
3. Step 3: Cross multiply
   256,554.75x = 402,456 × 402,456
4. Step 4: Simplify right side
   256,554.75x = 161,970,831,936
5. Step 5: Solve for x
   x = 161,970,831,936/256,554.75
6. Step 6: Final answer
   x = 631,330.47