Finding the Third Proportional to 137,563.50 and 205,048.50

Step by Step Solution

1. Step 1: Write the proportion equation
   137,563.50 : 205,048.50 = 205,048.50 : x
2. Step 2: Convert to fraction form
   137,563.50/205,048.50 = 205,048.50/x
3. Step 3: Cross multiply
   137,563.50x = 205,048.50 × 205,048.50
4. Step 4: Simplify right side
   137,563.50x = 42,044,887,352.25
5. Step 5: Solve for x
   x = 42,044,887,352.25/137,563.50
6. Step 6: Final answer
   x = 305,639.85