Finding the Third Proportional to 52,683 and 114,294

Step by Step Solution

1. Step 1: Write the proportion equation
   52,683 : 114,294 = 114,294 : x
2. Step 2: Convert to fraction form
   52,683/114,294 = 114,294/x
3. Step 3: Cross multiply
   52,683x = 114,294 × 114,294
4. Step 4: Simplify right side
   52,683x = 13,063,118,436
5. Step 5: Solve for x
   x = 13,063,118,436/52,683
6. Step 6: Final answer
   x = 247,957.00