Finding the Third Proportional to 120,968 and 188,076

Step by Step Solution

1. Step 1: Write the proportion equation
   120,968 : 188,076 = 188,076 : x
2. Step 2: Convert to fraction form
   120,968/188,076 = 188,076/x
3. Step 3: Cross multiply
   120,968x = 188,076 × 188,076
4. Step 4: Simplify right side
   120,968x = 35,372,581,776
5. Step 5: Solve for x
   x = 35,372,581,776/120,968
6. Step 6: Final answer
   x = 292,412.72