Finding the Third Proportional to 53,554.50 and 116,638.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,554.50 : 116,638.50 = 116,638.50 : x
2. Step 2: Convert to fraction form
   53,554.50/116,638.50 = 116,638.50/x
3. Step 3: Cross multiply
   53,554.50x = 116,638.50 × 116,638.50
4. Step 4: Simplify right side
   53,554.50x = 13,604,539,682.25
5. Step 5: Solve for x
   x = 13,604,539,682.25/53,554.50
6. Step 6: Final answer
   x = 254,031.68