Finding the Third Proportional to 76,562 and 111,819

Step by Step Solution

1. Step 1: Write the proportion equation
   76,562 : 111,819 = 111,819 : x
2. Step 2: Convert to fraction form
   76,562/111,819 = 111,819/x
3. Step 3: Cross multiply
   76,562x = 111,819 × 111,819
4. Step 4: Simplify right side
   76,562x = 12,503,488,761
5. Step 5: Solve for x
   x = 12,503,488,761/76,562
6. Step 6: Final answer
   x = 163,311.94