Finding the Third Proportional to 53,196 and 78,764

Step by Step Solution

1. Step 1: Write the proportion equation
   53,196 : 78,764 = 78,764 : x
2. Step 2: Convert to fraction form
   53,196/78,764 = 78,764/x
3. Step 3: Cross multiply
   53,196x = 78,764 × 78,764
4. Step 4: Simplify right side
   53,196x = 6,203,767,696
5. Step 5: Solve for x
   x = 6,203,767,696/53,196
6. Step 6: Final answer
   x = 116,620.94