Finding the Third Proportional to 53,599.50 and 117,837

Step by Step Solution

1. Step 1: Write the proportion equation
   53,599.50 : 117,837 = 117,837 : x
2. Step 2: Convert to fraction form
   53,599.50/117,837 = 117,837/x
3. Step 3: Cross multiply
   53,599.50x = 117,837 × 117,837
4. Step 4: Simplify right side
   53,599.50x = 13,885,558,569
5. Step 5: Solve for x
   x = 13,885,558,569/53,599.50
6. Step 6: Final answer
   x = 259,061.35