Finding the Third Proportional to 72,193 and 116,310

Step by Step Solution

1. Step 1: Write the proportion equation
   72,193 : 116,310 = 116,310 : x
2. Step 2: Convert to fraction form
   72,193/116,310 = 116,310/x
3. Step 3: Cross multiply
   72,193x = 116,310 × 116,310
4. Step 4: Simplify right side
   72,193x = 13,528,016,100
5. Step 5: Solve for x
   x = 13,528,016,100/72,193
6. Step 6: Final answer
   x = 187,386.81