Finding the Third Proportional to 137,470.50 and 206,570.25

Step by Step Solution

1. Step 1: Write the proportion equation
   137,470.50 : 206,570.25 = 206,570.25 : x
2. Step 2: Convert to fraction form
   137,470.50/206,570.25 = 206,570.25/x
3. Step 3: Cross multiply
   137,470.50x = 206,570.25 × 206,570.25
4. Step 4: Simplify right side
   137,470.50x = 42,671,268,185.06
5. Step 5: Solve for x
   x = 42,671,268,185.06/137,470.50
6. Step 6: Final answer
   x = 310,403.09