Finding the Third Proportional to 88,076 and 184,856

Step by Step Solution

1. Step 1: Write the proportion equation
   88,076 : 184,856 = 184,856 : x
2. Step 2: Convert to fraction form
   88,076/184,856 = 184,856/x
3. Step 3: Cross multiply
   88,076x = 184,856 × 184,856
4. Step 4: Simplify right side
   88,076x = 34,171,740,736
5. Step 5: Solve for x
   x = 34,171,740,736/88,076
6. Step 6: Final answer
   x = 387,980.16