Finding the Third Proportional to 123,916 and 192,146

Step by Step Solution

1. Step 1: Write the proportion equation
   123,916 : 192,146 = 192,146 : x
2. Step 2: Convert to fraction form
   123,916/192,146 = 192,146/x
3. Step 3: Cross multiply
   123,916x = 192,146 × 192,146
4. Step 4: Simplify right side
   123,916x = 36,920,085,316
5. Step 5: Solve for x
   x = 36,920,085,316/123,916
6. Step 6: Final answer
   x = 297,944.46