Finding the Third Proportional to 120,408 and 187,506

Step by Step Solution

1. Step 1: Write the proportion equation
   120,408 : 187,506 = 187,506 : x
2. Step 2: Convert to fraction form
   120,408/187,506 = 187,506/x
3. Step 3: Cross multiply
   120,408x = 187,506 × 187,506
4. Step 4: Simplify right side
   120,408x = 35,158,500,036
5. Step 5: Solve for x
   x = 35,158,500,036/120,408
6. Step 6: Final answer
   x = 291,994.72