Finding the Third Proportional to 72,624 and 120,014

Step by Step Solution

1. Step 1: Write the proportion equation
   72,624 : 120,014 = 120,014 : x
2. Step 2: Convert to fraction form
   72,624/120,014 = 120,014/x
3. Step 3: Cross multiply
   72,624x = 120,014 × 120,014
4. Step 4: Simplify right side
   72,624x = 14,403,360,196
5. Step 5: Solve for x
   x = 14,403,360,196/72,624
6. Step 6: Final answer
   x = 198,327.83