Finding the Third Proportional to 78,194 and 111,411

Step by Step Solution

1. Step 1: Write the proportion equation
   78,194 : 111,411 = 111,411 : x
2. Step 2: Convert to fraction form
   78,194/111,411 = 111,411/x
3. Step 3: Cross multiply
   78,194x = 111,411 × 111,411
4. Step 4: Simplify right side
   78,194x = 12,412,410,921
5. Step 5: Solve for x
   x = 12,412,410,921/78,194
6. Step 6: Final answer
   x = 158,738.66