Finding the Third Proportional to 137,064.50 and 205,597

Step by Step Solution

1. Step 1: Write the proportion equation
   137,064.50 : 205,597 = 205,597 : x
2. Step 2: Convert to fraction form
   137,064.50/205,597 = 205,597/x
3. Step 3: Cross multiply
   137,064.50x = 205,597 × 205,597
4. Step 4: Simplify right side
   137,064.50x = 42,270,126,409
5. Step 5: Solve for x
   x = 42,270,126,409/137,064.50
6. Step 6: Final answer
   x = 308,395.88