Finding the Third Proportional to 85,152 and 184,704

Step by Step Solution

1. Step 1: Write the proportion equation
   85,152 : 184,704 = 184,704 : x
2. Step 2: Convert to fraction form
   85,152/184,704 = 184,704/x
3. Step 3: Cross multiply
   85,152x = 184,704 × 184,704
4. Step 4: Simplify right side
   85,152x = 34,115,567,616
5. Step 5: Solve for x
   x = 34,115,567,616/85,152
6. Step 6: Final answer
   x = 400,643.17