Finding the Third Proportional to 78,214 and 112,082

Step by Step Solution

1. Step 1: Write the proportion equation
   78,214 : 112,082 = 112,082 : x
2. Step 2: Convert to fraction form
   78,214/112,082 = 112,082/x
3. Step 3: Cross multiply
   78,214x = 112,082 × 112,082
4. Step 4: Simplify right side
   78,214x = 12,562,374,724
5. Step 5: Solve for x
   x = 12,562,374,724/78,214
6. Step 6: Final answer
   x = 160,615.42