Finding the Third Proportional to 78,458 and 120,042

Step by Step Solution

1. Step 1: Write the proportion equation
   78,458 : 120,042 = 120,042 : x
2. Step 2: Convert to fraction form
   78,458/120,042 = 120,042/x
3. Step 3: Cross multiply
   78,458x = 120,042 × 120,042
4. Step 4: Simplify right side
   78,458x = 14,410,081,764
5. Step 5: Solve for x
   x = 14,410,081,764/78,458
6. Step 6: Final answer
   x = 183,666.19