Finding the Third Proportional to 118,676 and 184,822

Step by Step Solution

1. Step 1: Write the proportion equation
   118,676 : 184,822 = 184,822 : x
2. Step 2: Convert to fraction form
   118,676/184,822 = 184,822/x
3. Step 3: Cross multiply
   118,676x = 184,822 × 184,822
4. Step 4: Simplify right side
   118,676x = 34,159,171,684
5. Step 5: Solve for x
   x = 34,159,171,684/118,676
6. Step 6: Final answer
   x = 287,835.55