Finding the Third Proportional to 78,466 and 120,054

Step by Step Solution

1. Step 1: Write the proportion equation
   78,466 : 120,054 = 120,054 : x
2. Step 2: Convert to fraction form
   78,466/120,054 = 120,054/x
3. Step 3: Cross multiply
   78,466x = 120,054 × 120,054
4. Step 4: Simplify right side
   78,466x = 14,412,962,916
5. Step 5: Solve for x
   x = 14,412,962,916/78,466
6. Step 6: Final answer
   x = 183,684.18