Finding the Third Proportional to 114,594 and 171,945

Step by Step Solution

1. Step 1: Write the proportion equation
   114,594 : 171,945 = 171,945 : x
2. Step 2: Convert to fraction form
   114,594/171,945 = 171,945/x
3. Step 3: Cross multiply
   114,594x = 171,945 × 171,945
4. Step 4: Simplify right side
   114,594x = 29,565,083,025
5. Step 5: Solve for x
   x = 29,565,083,025/114,594
6. Step 6: Final answer
   x = 257,998.53