Finding the Third Proportional to 140,674 and 299,798

Step by Step Solution

1. Step 1: Write the proportion equation
   140,674 : 299,798 = 299,798 : x
2. Step 2: Convert to fraction form
   140,674/299,798 = 299,798/x
3. Step 3: Cross multiply
   140,674x = 299,798 × 299,798
4. Step 4: Simplify right side
   140,674x = 89,878,840,804
5. Step 5: Solve for x
   x = 89,878,840,804/140,674
6. Step 6: Final answer
   x = 638,915.80