Finding the Third Proportional to 293,851 and 436,456

Step by Step Solution

1. Step 1: Write the proportion equation
   293,851 : 436,456 = 436,456 : x
2. Step 2: Convert to fraction form
   293,851/436,456 = 436,456/x
3. Step 3: Cross multiply
   293,851x = 436,456 × 436,456
4. Step 4: Simplify right side
   293,851x = 190,493,839,936
5. Step 5: Solve for x
   x = 190,493,839,936/293,851
6. Step 6: Final answer
   x = 648,266.77