Finding the Third Proportional to 87,178 and 184,820

Step by Step Solution

1. Step 1: Write the proportion equation
   87,178 : 184,820 = 184,820 : x
2. Step 2: Convert to fraction form
   87,178/184,820 = 184,820/x
3. Step 3: Cross multiply
   87,178x = 184,820 × 184,820
4. Step 4: Simplify right side
   87,178x = 34,158,432,400
5. Step 5: Solve for x
   x = 34,158,432,400/87,178
6. Step 6: Final answer
   x = 391,824.00