Finding the Third Proportional to 76,856 and 120,300

Step by Step Solution

1. Step 1: Write the proportion equation
   76,856 : 120,300 = 120,300 : x
2. Step 2: Convert to fraction form
   76,856/120,300 = 120,300/x
3. Step 3: Cross multiply
   76,856x = 120,300 × 120,300
4. Step 4: Simplify right side
   76,856x = 14,472,090,000
5. Step 5: Solve for x
   x = 14,472,090,000/76,856
6. Step 6: Final answer
   x = 188,301.37