Finding the Third Proportional to 53,897.50 and 113,381.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,897.50 : 113,381.50 = 113,381.50 : x
2. Step 2: Convert to fraction form
   53,897.50/113,381.50 = 113,381.50/x
3. Step 3: Cross multiply
   53,897.50x = 113,381.50 × 113,381.50
4. Step 4: Simplify right side
   53,897.50x = 12,855,364,542.25
5. Step 5: Solve for x
   x = 12,855,364,542.25/53,897.50
6. Step 6: Final answer
   x = 238,515.04