Finding the Third Proportional to 78,490 and 112,096

Step by Step Solution

1. Step 1: Write the proportion equation
   78,490 : 112,096 = 112,096 : x
2. Step 2: Convert to fraction form
   78,490/112,096 = 112,096/x
3. Step 3: Cross multiply
   78,490x = 112,096 × 112,096
4. Step 4: Simplify right side
   78,490x = 12,565,513,216
5. Step 5: Solve for x
   x = 12,565,513,216/78,490
6. Step 6: Final answer
   x = 160,090.63