Finding the Third Proportional to 52,384 and 110,978

Step by Step Solution

1. Step 1: Write the proportion equation
   52,384 : 110,978 = 110,978 : x
2. Step 2: Convert to fraction form
   52,384/110,978 = 110,978/x
3. Step 3: Cross multiply
   52,384x = 110,978 × 110,978
4. Step 4: Simplify right side
   52,384x = 12,316,116,484
5. Step 5: Solve for x
   x = 12,316,116,484/52,384
6. Step 6: Final answer
   x = 235,112.18