Finding the Third Proportional to 52,850 and 114,556

Step by Step Solution

1. Step 1: Write the proportion equation
   52,850 : 114,556 = 114,556 : x
2. Step 2: Convert to fraction form
   52,850/114,556 = 114,556/x
3. Step 3: Cross multiply
   52,850x = 114,556 × 114,556
4. Step 4: Simplify right side
   52,850x = 13,123,077,136
5. Step 5: Solve for x
   x = 13,123,077,136/52,850
6. Step 6: Final answer
   x = 248,307.99