Finding the Third Proportional to 88,084 and 184,784

Step by Step Solution

1. Step 1: Write the proportion equation
   88,084 : 184,784 = 184,784 : x
2. Step 2: Convert to fraction form
   88,084/184,784 = 184,784/x
3. Step 3: Cross multiply
   88,084x = 184,784 × 184,784
4. Step 4: Simplify right side
   88,084x = 34,145,126,656
5. Step 5: Solve for x
   x = 34,145,126,656/88,084
6. Step 6: Final answer
   x = 387,642.78