Finding the Third Proportional to 113,026 and 175,117

Step by Step Solution

1. Step 1: Write the proportion equation
   113,026 : 175,117 = 175,117 : x
2. Step 2: Convert to fraction form
   113,026/175,117 = 175,117/x
3. Step 3: Cross multiply
   113,026x = 175,117 × 175,117
4. Step 4: Simplify right side
   113,026x = 30,665,963,689
5. Step 5: Solve for x
   x = 30,665,963,689/113,026
6. Step 6: Final answer
   x = 271,317.78