Finding the Third Proportional to 78,258 and 111,506

Step by Step Solution

1. Step 1: Write the proportion equation
   78,258 : 111,506 = 111,506 : x
2. Step 2: Convert to fraction form
   78,258/111,506 = 111,506/x
3. Step 3: Cross multiply
   78,258x = 111,506 × 111,506
4. Step 4: Simplify right side
   78,258x = 12,433,588,036
5. Step 5: Solve for x
   x = 12,433,588,036/78,258
6. Step 6: Final answer
   x = 158,879.45