Finding the Third Proportional to 78,626 and 184,973

Step by Step Solution

1. Step 1: Write the proportion equation
   78,626 : 184,973 = 184,973 : x
2. Step 2: Convert to fraction form
   78,626/184,973 = 184,973/x
3. Step 3: Cross multiply
   78,626x = 184,973 × 184,973
4. Step 4: Simplify right side
   78,626x = 34,215,010,729
5. Step 5: Solve for x
   x = 34,215,010,729/78,626
6. Step 6: Final answer
   x = 435,161.53