Finding the Third Proportional to 77,252 and 103,470

Step by Step Solution

1. Step 1: Write the proportion equation
   77,252 : 103,470 = 103,470 : x
2. Step 2: Convert to fraction form
   77,252/103,470 = 103,470/x
3. Step 3: Cross multiply
   77,252x = 103,470 × 103,470
4. Step 4: Simplify right side
   77,252x = 10,706,040,900
5. Step 5: Solve for x
   x = 10,706,040,900/77,252
6. Step 6: Final answer
   x = 138,585.94