Finding the Third Proportional to 77,933 and 111,436

Step by Step Solution

1. Step 1: Write the proportion equation
   77,933 : 111,436 = 111,436 : x
2. Step 2: Convert to fraction form
   77,933/111,436 = 111,436/x
3. Step 3: Cross multiply
   77,933x = 111,436 × 111,436
4. Step 4: Simplify right side
   77,933x = 12,417,982,096
5. Step 5: Solve for x
   x = 12,417,982,096/77,933
6. Step 6: Final answer
   x = 159,341.77