Finding the Third Proportional to 53,529 and 113,088

Step by Step Solution

1. Step 1: Write the proportion equation
   53,529 : 113,088 = 113,088 : x
2. Step 2: Convert to fraction form
   53,529/113,088 = 113,088/x
3. Step 3: Cross multiply
   53,529x = 113,088 × 113,088
4. Step 4: Simplify right side
   53,529x = 12,788,895,744
5. Step 5: Solve for x
   x = 12,788,895,744/53,529
6. Step 6: Final answer
   x = 238,915.27