Finding the Third Proportional to 78,516 and 120,132

Step by Step Solution

1. Step 1: Write the proportion equation
   78,516 : 120,132 = 120,132 : x
2. Step 2: Convert to fraction form
   78,516/120,132 = 120,132/x
3. Step 3: Cross multiply
   78,516x = 120,132 × 120,132
4. Step 4: Simplify right side
   78,516x = 14,431,697,424
5. Step 5: Solve for x
   x = 14,431,697,424/78,516
6. Step 6: Final answer
   x = 183,805.82