Finding the Third Proportional to 140,092 and 200,158

Step by Step Solution

1. Step 1: Write the proportion equation
   140,092 : 200,158 = 200,158 : x
2. Step 2: Convert to fraction form
   140,092/200,158 = 200,158/x
3. Step 3: Cross multiply
   140,092x = 200,158 × 200,158
4. Step 4: Simplify right side
   140,092x = 40,063,224,964
5. Step 5: Solve for x
   x = 40,063,224,964/140,092
6. Step 6: Final answer
   x = 285,977.96