Finding the Third Proportional to 53,004 and 117,672

Step by Step Solution

1. Step 1: Write the proportion equation
   53,004 : 117,672 = 117,672 : x
2. Step 2: Convert to fraction form
   53,004/117,672 = 117,672/x
3. Step 3: Cross multiply
   53,004x = 117,672 × 117,672
4. Step 4: Simplify right side
   53,004x = 13,846,699,584
5. Step 5: Solve for x
   x = 13,846,699,584/53,004
6. Step 6: Final answer
   x = 261,238.77