Finding the Third Proportional to 341,491 and 501,164

Step by Step Solution

1. Step 1: Write the proportion equation
   341,491 : 501,164 = 501,164 : x
2. Step 2: Convert to fraction form
   341,491/501,164 = 501,164/x
3. Step 3: Cross multiply
   341,491x = 501,164 × 501,164
4. Step 4: Simplify right side
   341,491x = 251,165,354,896
5. Step 5: Solve for x
   x = 251,165,354,896/341,491
6. Step 6: Final answer
   x = 735,496.26