Finding the Third Proportional to 137,926 and 200,895

Step by Step Solution

1. Step 1: Write the proportion equation
   137,926 : 200,895 = 200,895 : x
2. Step 2: Convert to fraction form
   137,926/200,895 = 200,895/x
3. Step 3: Cross multiply
   137,926x = 200,895 × 200,895
4. Step 4: Simplify right side
   137,926x = 40,358,801,025
5. Step 5: Solve for x
   x = 40,358,801,025/137,926
6. Step 6: Final answer
   x = 292,611.99