Finding the Third Proportional to 105,071 and 233,470

Step by Step Solution

1. Step 1: Write the proportion equation
   105,071 : 233,470 = 233,470 : x
2. Step 2: Convert to fraction form
   105,071/233,470 = 233,470/x
3. Step 3: Cross multiply
   105,071x = 233,470 × 233,470
4. Step 4: Simplify right side
   105,071x = 54,508,240,900
5. Step 5: Solve for x
   x = 54,508,240,900/105,071
6. Step 6: Final answer
   x = 518,775.31