Finding the Third Proportional to 78,216 and 112,086

Step by Step Solution

1. Step 1: Write the proportion equation
   78,216 : 112,086 = 112,086 : x
2. Step 2: Convert to fraction form
   78,216/112,086 = 112,086/x
3. Step 3: Cross multiply
   78,216x = 112,086 × 112,086
4. Step 4: Simplify right side
   78,216x = 12,563,271,396
5. Step 5: Solve for x
   x = 12,563,271,396/78,216
6. Step 6: Final answer
   x = 160,622.78