Finding the Third Proportional to 137,224 and 205,260

Step by Step Solution

1. Step 1: Write the proportion equation
   137,224 : 205,260 = 205,260 : x
2. Step 2: Convert to fraction form
   137,224/205,260 = 205,260/x
3. Step 3: Cross multiply
   137,224x = 205,260 × 205,260
4. Step 4: Simplify right side
   137,224x = 42,131,667,600
5. Step 5: Solve for x
   x = 42,131,667,600/137,224
6. Step 6: Final answer
   x = 307,028.42