Finding the Third Proportional to 116,613 and 185,433

Step by Step Solution

1. Step 1: Write the proportion equation
   116,613 : 185,433 = 185,433 : x
2. Step 2: Convert to fraction form
   116,613/185,433 = 185,433/x
3. Step 3: Cross multiply
   116,613x = 185,433 × 185,433
4. Step 4: Simplify right side
   116,613x = 34,385,397,489
5. Step 5: Solve for x
   x = 34,385,397,489/116,613
6. Step 6: Final answer
   x = 294,867.62