Finding the Third Proportional to 78,216 and 112,085

Step by Step Solution

1. Step 1: Write the proportion equation
   78,216 : 112,085 = 112,085 : x
2. Step 2: Convert to fraction form
   78,216/112,085 = 112,085/x
3. Step 3: Cross multiply
   78,216x = 112,085 × 112,085
4. Step 4: Simplify right side
   78,216x = 12,563,047,225
5. Step 5: Solve for x
   x = 12,563,047,225/78,216
6. Step 6: Final answer
   x = 160,619.91