Finding the Third Proportional to 53,536 and 78,384

Step by Step Solution

1. Step 1: Write the proportion equation
   53,536 : 78,384 = 78,384 : x
2. Step 2: Convert to fraction form
   53,536/78,384 = 78,384/x
3. Step 3: Cross multiply
   53,536x = 78,384 × 78,384
4. Step 4: Simplify right side
   53,536x = 6,144,051,456
5. Step 5: Solve for x
   x = 6,144,051,456/53,536
6. Step 6: Final answer
   x = 114,764.86