Finding the Third Proportional to 113,830 and 171,111

Step by Step Solution

1. Step 1: Write the proportion equation
   113,830 : 171,111 = 171,111 : x
2. Step 2: Convert to fraction form
   113,830/171,111 = 171,111/x
3. Step 3: Cross multiply
   113,830x = 171,111 × 171,111
4. Step 4: Simplify right side
   113,830x = 29,278,974,321
5. Step 5: Solve for x
   x = 29,278,974,321/113,830
6. Step 6: Final answer
   x = 257,216.68