Finding the Third Proportional to 137,022 and 205,536

Step by Step Solution

1. Step 1: Write the proportion equation
   137,022 : 205,536 = 205,536 : x
2. Step 2: Convert to fraction form
   137,022/205,536 = 205,536/x
3. Step 3: Cross multiply
   137,022x = 205,536 × 205,536
4. Step 4: Simplify right side
   137,022x = 42,245,047,296
5. Step 5: Solve for x
   x = 42,245,047,296/137,022
6. Step 6: Final answer
   x = 308,308.50