Finding the Third Proportional to 78,605 and 111,117

Step by Step Solution

1. Step 1: Write the proportion equation
   78,605 : 111,117 = 111,117 : x
2. Step 2: Convert to fraction form
   78,605/111,117 = 111,117/x
3. Step 3: Cross multiply
   78,605x = 111,117 × 111,117
4. Step 4: Simplify right side
   78,605x = 12,346,987,689
5. Step 5: Solve for x
   x = 12,346,987,689/78,605
6. Step 6: Final answer
   x = 157,076.37