Finding the Third Proportional to 78,284 and 104,869

Step by Step Solution

1. Step 1: Write the proportion equation
   78,284 : 104,869 = 104,869 : x
2. Step 2: Convert to fraction form
   78,284/104,869 = 104,869/x
3. Step 3: Cross multiply
   78,284x = 104,869 × 104,869
4. Step 4: Simplify right side
   78,284x = 10,997,507,161
5. Step 5: Solve for x
   x = 10,997,507,161/78,284
6. Step 6: Final answer
   x = 140,482.18