Finding the Third Proportional to 137,040 and 205,564

Step by Step Solution

1. Step 1: Write the proportion equation
   137,040 : 205,564 = 205,564 : x
2. Step 2: Convert to fraction form
   137,040/205,564 = 205,564/x
3. Step 3: Cross multiply
   137,040x = 205,564 × 205,564
4. Step 4: Simplify right side
   137,040x = 42,256,558,096
5. Step 5: Solve for x
   x = 42,256,558,096/137,040
6. Step 6: Final answer
   x = 308,352.00