Finding the Third Proportional to 137,919 and 200,884.50

Step by Step Solution

1. Step 1: Write the proportion equation
   137,919 : 200,884.50 = 200,884.50 : x
2. Step 2: Convert to fraction form
   137,919/200,884.50 = 200,884.50/x
3. Step 3: Cross multiply
   137,919x = 200,884.50 × 200,884.50
4. Step 4: Simplify right side
   137,919x = 40,354,582,340.25
5. Step 5: Solve for x
   x = 40,354,582,340.25/137,919
6. Step 6: Final answer
   x = 292,596.25