Finding the Third Proportional to 52,978 and 113,623

Step by Step Solution

1. Step 1: Write the proportion equation
   52,978 : 113,623 = 113,623 : x
2. Step 2: Convert to fraction form
   52,978/113,623 = 113,623/x
3. Step 3: Cross multiply
   52,978x = 113,623 × 113,623
4. Step 4: Simplify right side
   52,978x = 12,910,186,129
5. Step 5: Solve for x
   x = 12,910,186,129/52,978
6. Step 6: Final answer
   x = 243,689.57