Finding the Third Proportional to 137,065.50 and 205,598.50

Step by Step Solution

1. Step 1: Write the proportion equation
   137,065.50 : 205,598.50 = 205,598.50 : x
2. Step 2: Convert to fraction form
   137,065.50/205,598.50 = 205,598.50/x
3. Step 3: Cross multiply
   137,065.50x = 205,598.50 × 205,598.50
4. Step 4: Simplify right side
   137,065.50x = 42,270,743,202.25
5. Step 5: Solve for x
   x = 42,270,743,202.25/137,065.50
6. Step 6: Final answer
   x = 308,398.13