Finding the Third Proportional to 78,002 and 119,818

Step by Step Solution

1. Step 1: Write the proportion equation
   78,002 : 119,818 = 119,818 : x
2. Step 2: Convert to fraction form
   78,002/119,818 = 119,818/x
3. Step 3: Cross multiply
   78,002x = 119,818 × 119,818
4. Step 4: Simplify right side
   78,002x = 14,356,353,124
5. Step 5: Solve for x
   x = 14,356,353,124/78,002
6. Step 6: Final answer
   x = 184,051.09