Finding the Third Proportional to 113,490 and 171,814

Step by Step Solution

1. Step 1: Write the proportion equation
   113,490 : 171,814 = 171,814 : x
2. Step 2: Convert to fraction form
   113,490/171,814 = 171,814/x
3. Step 3: Cross multiply
   113,490x = 171,814 × 171,814
4. Step 4: Simplify right side
   113,490x = 29,520,050,596
5. Step 5: Solve for x
   x = 29,520,050,596/113,490
6. Step 6: Final answer
   x = 260,111.47