Finding the Third Proportional to 113,092 and 174,536

Step by Step Solution

1. Step 1: Write the proportion equation
   113,092 : 174,536 = 174,536 : x
2. Step 2: Convert to fraction form
   113,092/174,536 = 174,536/x
3. Step 3: Cross multiply
   113,092x = 174,536 × 174,536
4. Step 4: Simplify right side
   113,092x = 30,462,815,296
5. Step 5: Solve for x
   x = 30,462,815,296/113,092
6. Step 6: Final answer
   x = 269,363.13