Finding the Third Proportional to 120,649.50 and 177,462

Step by Step Solution

1. Step 1: Write the proportion equation
   120,649.50 : 177,462 = 177,462 : x
2. Step 2: Convert to fraction form
   120,649.50/177,462 = 177,462/x
3. Step 3: Cross multiply
   120,649.50x = 177,462 × 177,462
4. Step 4: Simplify right side
   120,649.50x = 31,492,761,444
5. Step 5: Solve for x
   x = 31,492,761,444/120,649.50
6. Step 6: Final answer
   x = 261,026.87