Finding the Third Proportional to 52,946 and 114,596

Step by Step Solution

1. Step 1: Write the proportion equation
   52,946 : 114,596 = 114,596 : x
2. Step 2: Convert to fraction form
   52,946/114,596 = 114,596/x
3. Step 3: Cross multiply
   52,946x = 114,596 × 114,596
4. Step 4: Simplify right side
   52,946x = 13,132,243,216
5. Step 5: Solve for x
   x = 13,132,243,216/52,946
6. Step 6: Final answer
   x = 248,030.88