Finding the Third Proportional to 52,578 and 114,868

Step by Step Solution

1. Step 1: Write the proportion equation
   52,578 : 114,868 = 114,868 : x
2. Step 2: Convert to fraction form
   52,578/114,868 = 114,868/x
3. Step 3: Cross multiply
   52,578x = 114,868 × 114,868
4. Step 4: Simplify right side
   52,578x = 13,194,657,424
5. Step 5: Solve for x
   x = 13,194,657,424/52,578
6. Step 6: Final answer
   x = 250,953.96