Finding the Third Proportional to 137,920 and 200,886

Step by Step Solution

1. Step 1: Write the proportion equation
   137,920 : 200,886 = 200,886 : x
2. Step 2: Convert to fraction form
   137,920/200,886 = 200,886/x
3. Step 3: Cross multiply
   137,920x = 200,886 × 200,886
4. Step 4: Simplify right side
   137,920x = 40,355,184,996
5. Step 5: Solve for x
   x = 40,355,184,996/137,920
6. Step 6: Final answer
   x = 292,598.50