Finding the Third Proportional to 146,018 and 208,659

Step by Step Solution

1. Step 1: Write the proportion equation
   146,018 : 208,659 = 208,659 : x
2. Step 2: Convert to fraction form
   146,018/208,659 = 208,659/x
3. Step 3: Cross multiply
   146,018x = 208,659 × 208,659
4. Step 4: Simplify right side
   146,018x = 43,538,578,281
5. Step 5: Solve for x
   x = 43,538,578,281/146,018
6. Step 6: Final answer
   x = 298,172.68