Finding the Third Proportional to 42,383 and 92,146

Step by Step Solution

1. Step 1: Write the proportion equation
   42,383 : 92,146 = 92,146 : x
2. Step 2: Convert to fraction form
   42,383/92,146 = 92,146/x
3. Step 3: Cross multiply
   42,383x = 92,146 × 92,146
4. Step 4: Simplify right side
   42,383x = 8,490,885,316
5. Step 5: Solve for x
   x = 8,490,885,316/42,383
6. Step 6: Final answer
   x = 200,337.05