Finding the Third Proportional to 78,424 and 185,104

Step by Step Solution

1. Step 1: Write the proportion equation
   78,424 : 185,104 = 185,104 : x
2. Step 2: Convert to fraction form
   78,424/185,104 = 185,104/x
3. Step 3: Cross multiply
   78,424x = 185,104 × 185,104
4. Step 4: Simplify right side
   78,424x = 34,263,490,816
5. Step 5: Solve for x
   x = 34,263,490,816/78,424
6. Step 6: Final answer
   x = 436,900.58