Finding the Third Proportional to 112,714 and 184,400

Step by Step Solution

1. Step 1: Write the proportion equation
   112,714 : 184,400 = 184,400 : x
2. Step 2: Convert to fraction form
   112,714/184,400 = 184,400/x
3. Step 3: Cross multiply
   112,714x = 184,400 × 184,400
4. Step 4: Simplify right side
   112,714x = 34,003,360,000
5. Step 5: Solve for x
   x = 34,003,360,000/112,714
6. Step 6: Final answer
   x = 301,678.23