Finding the Third Proportional to 115,655 and 181,470

Step by Step Solution

1. Step 1: Write the proportion equation
   115,655 : 181,470 = 181,470 : x
2. Step 2: Convert to fraction form
   115,655/181,470 = 181,470/x
3. Step 3: Cross multiply
   115,655x = 181,470 × 181,470
4. Step 4: Simplify right side
   115,655x = 32,931,360,900
5. Step 5: Solve for x
   x = 32,931,360,900/115,655
6. Step 6: Final answer
   x = 284,737.89