Finding the Third Proportional to 116,322 and 184,491

Step by Step Solution

1. Step 1: Write the proportion equation
   116,322 : 184,491 = 184,491 : x
2. Step 2: Convert to fraction form
   116,322/184,491 = 184,491/x
3. Step 3: Cross multiply
   116,322x = 184,491 × 184,491
4. Step 4: Simplify right side
   116,322x = 34,036,929,081
5. Step 5: Solve for x
   x = 34,036,929,081/116,322
6. Step 6: Final answer
   x = 292,609.56