Finding the Third Proportional to 53,234 and 78,824

Step by Step Solution

1. Step 1: Write the proportion equation
   53,234 : 78,824 = 78,824 : x
2. Step 2: Convert to fraction form
   53,234/78,824 = 78,824/x
3. Step 3: Cross multiply
   53,234x = 78,824 × 78,824
4. Step 4: Simplify right side
   53,234x = 6,213,222,976
5. Step 5: Solve for x
   x = 6,213,222,976/53,234
6. Step 6: Final answer
   x = 116,715.31