Finding the Third Proportional to 126,117 and 188,082

Step by Step Solution

1. Step 1: Write the proportion equation
   126,117 : 188,082 = 188,082 : x
2. Step 2: Convert to fraction form
   126,117/188,082 = 188,082/x
3. Step 3: Cross multiply
   126,117x = 188,082 × 188,082
4. Step 4: Simplify right side
   126,117x = 35,374,838,724
5. Step 5: Solve for x
   x = 35,374,838,724/126,117
6. Step 6: Final answer
   x = 280,492.23