Finding the Third Proportional to 137,079 and 205,614

Step by Step Solution

1. Step 1: Write the proportion equation
   137,079 : 205,614 = 205,614 : x
2. Step 2: Convert to fraction form
   137,079/205,614 = 205,614/x
3. Step 3: Cross multiply
   137,079x = 205,614 × 205,614
4. Step 4: Simplify right side
   137,079x = 42,277,116,996
5. Step 5: Solve for x
   x = 42,277,116,996/137,079
6. Step 6: Final answer
   x = 308,414.25