Finding the Third Proportional to 52,694 and 116,476

Step by Step Solution

1. Step 1: Write the proportion equation
   52,694 : 116,476 = 116,476 : x
2. Step 2: Convert to fraction form
   52,694/116,476 = 116,476/x
3. Step 3: Cross multiply
   52,694x = 116,476 × 116,476
4. Step 4: Simplify right side
   52,694x = 13,566,658,576
5. Step 5: Solve for x
   x = 13,566,658,576/52,694
6. Step 6: Final answer
   x = 257,461.16