Finding the Third Proportional to 76,556 and 111,810

Step by Step Solution

1. Step 1: Write the proportion equation
   76,556 : 111,810 = 111,810 : x
2. Step 2: Convert to fraction form
   76,556/111,810 = 111,810/x
3. Step 3: Cross multiply
   76,556x = 111,810 × 111,810
4. Step 4: Simplify right side
   76,556x = 12,501,476,100
5. Step 5: Solve for x
   x = 12,501,476,100/76,556
6. Step 6: Final answer
   x = 163,298.45