Finding the Third Proportional to 44,122 and 83,780

Step by Step Solution

1. Step 1: Write the proportion equation
   44,122 : 83,780 = 83,780 : x
2. Step 2: Convert to fraction form
   44,122/83,780 = 83,780/x
3. Step 3: Cross multiply
   44,122x = 83,780 × 83,780
4. Step 4: Simplify right side
   44,122x = 7,019,088,400
5. Step 5: Solve for x
   x = 7,019,088,400/44,122
6. Step 6: Final answer
   x = 159,083.64