Finding the Third Proportional to 137,084 and 205,620

Step by Step Solution

1. Step 1: Write the proportion equation
   137,084 : 205,620 = 205,620 : x
2. Step 2: Convert to fraction form
   137,084/205,620 = 205,620/x
3. Step 3: Cross multiply
   137,084x = 205,620 × 205,620
4. Step 4: Simplify right side
   137,084x = 42,279,584,400
5. Step 5: Solve for x
   x = 42,279,584,400/137,084
6. Step 6: Final answer
   x = 308,421.00