Finding the Third Proportional to 137,018 and 204,969

Step by Step Solution

1. Step 1: Write the proportion equation
   137,018 : 204,969 = 204,969 : x
2. Step 2: Convert to fraction form
   137,018/204,969 = 204,969/x
3. Step 3: Cross multiply
   137,018x = 204,969 × 204,969
4. Step 4: Simplify right side
   137,018x = 42,012,290,961
5. Step 5: Solve for x
   x = 42,012,290,961/137,018
6. Step 6: Final answer
   x = 306,618.77