Finding the Third Proportional to 137,008 and 204,955

Step by Step Solution

1. Step 1: Write the proportion equation
   137,008 : 204,955 = 204,955 : x
2. Step 2: Convert to fraction form
   137,008/204,955 = 204,955/x
3. Step 3: Cross multiply
   137,008x = 204,955 × 204,955
4. Step 4: Simplify right side
   137,008x = 42,006,552,025
5. Step 5: Solve for x
   x = 42,006,552,025/137,008
6. Step 6: Final answer
   x = 306,599.26