Finding the Third Proportional to 137,052 and 205,578

Step by Step Solution

1. Step 1: Write the proportion equation
   137,052 : 205,578 = 205,578 : x
2. Step 2: Convert to fraction form
   137,052/205,578 = 205,578/x
3. Step 3: Cross multiply
   137,052x = 205,578 × 205,578
4. Step 4: Simplify right side
   137,052x = 42,262,314,084
5. Step 5: Solve for x
   x = 42,262,314,084/137,052
6. Step 6: Final answer
   x = 308,367