Finding the Third Proportional to 42,183 and 92,139

Step by Step Solution

1. Step 1: Write the proportion equation
   42,183 : 92,139 = 92,139 : x
2. Step 2: Convert to fraction form
   42,183/92,139 = 92,139/x
3. Step 3: Cross multiply
   42,183x = 92,139 × 92,139
4. Step 4: Simplify right side
   42,183x = 8,489,595,321
5. Step 5: Solve for x
   x = 8,489,595,321/42,183
6. Step 6: Final answer
   x = 201,256.32