Finding the Third Proportional to 78,388 and 111,702

Step by Step Solution

1. Step 1: Write the proportion equation
   78,388 : 111,702 = 111,702 : x
2. Step 2: Convert to fraction form
   78,388/111,702 = 111,702/x
3. Step 3: Cross multiply
   78,388x = 111,702 × 111,702
4. Step 4: Simplify right side
   78,388x = 12,477,336,804
5. Step 5: Solve for x
   x = 12,477,336,804/78,388
6. Step 6: Final answer
   x = 159,174.07