Finding the Third Proportional to 53,196 and 78,767

Step by Step Solution

1. Step 1: Write the proportion equation
   53,196 : 78,767 = 78,767 : x
2. Step 2: Convert to fraction form
   53,196/78,767 = 78,767/x
3. Step 3: Cross multiply
   53,196x = 78,767 × 78,767
4. Step 4: Simplify right side
   53,196x = 6,204,240,289
5. Step 5: Solve for x
   x = 6,204,240,289/53,196
6. Step 6: Final answer
   x = 116,629.83