Finding the Third Proportional to 42,139 and 92,326

Step by Step Solution

1. Step 1: Write the proportion equation
   42,139 : 92,326 = 92,326 : x
2. Step 2: Convert to fraction form
   42,139/92,326 = 92,326/x
3. Step 3: Cross multiply
   42,139x = 92,326 × 92,326
4. Step 4: Simplify right side
   42,139x = 8,524,090,276
5. Step 5: Solve for x
   x = 8,524,090,276/42,139
6. Step 6: Final answer
   x = 202,285.06