Finding the Third Proportional to 72,780 and 111,114

Step by Step Solution

1. Step 1: Write the proportion equation
   72,780 : 111,114 = 111,114 : x
2. Step 2: Convert to fraction form
   72,780/111,114 = 111,114/x
3. Step 3: Cross multiply
   72,780x = 111,114 × 111,114
4. Step 4: Simplify right side
   72,780x = 12,346,320,996
5. Step 5: Solve for x
   x = 12,346,320,996/72,780
6. Step 6: Final answer
   x = 169,638.93