Finding the Third Proportional to 53,643.50 and 117,789

Step by Step Solution

1. Step 1: Write the proportion equation
   53,643.50 : 117,789 = 117,789 : x
2. Step 2: Convert to fraction form
   53,643.50/117,789 = 117,789/x
3. Step 3: Cross multiply
   53,643.50x = 117,789 × 117,789
4. Step 4: Simplify right side
   53,643.50x = 13,874,248,521
5. Step 5: Solve for x
   x = 13,874,248,521/53,643.50
6. Step 6: Final answer
   x = 258,638.02