Finding the Third Proportional to 53,333 and 123,470

Step by Step Solution

1. Step 1: Write the proportion equation
   53,333 : 123,470 = 123,470 : x
2. Step 2: Convert to fraction form
   53,333/123,470 = 123,470/x
3. Step 3: Cross multiply
   53,333x = 123,470 × 123,470
4. Step 4: Simplify right side
   53,333x = 15,244,840,900
5. Step 5: Solve for x
   x = 15,244,840,900/53,333
6. Step 6: Final answer
   x = 285,842.55