Finding the Third Proportional to 52,905 and 115,470

Step by Step Solution

1. Step 1: Write the proportion equation
   52,905 : 115,470 = 115,470 : x
2. Step 2: Convert to fraction form
   52,905/115,470 = 115,470/x
3. Step 3: Cross multiply
   52,905x = 115,470 × 115,470
4. Step 4: Simplify right side
   52,905x = 13,333,320,900
5. Step 5: Solve for x
   x = 13,333,320,900/52,905
6. Step 6: Final answer
   x = 252,023.83