Finding the Third Proportional to 52,833 and 116,034

Step by Step Solution

1. Step 1: Write the proportion equation
   52,833 : 116,034 = 116,034 : x
2. Step 2: Convert to fraction form
   52,833/116,034 = 116,034/x
3. Step 3: Cross multiply
   52,833x = 116,034 × 116,034
4. Step 4: Simplify right side
   52,833x = 13,463,889,156
5. Step 5: Solve for x
   x = 13,463,889,156/52,833
6. Step 6: Final answer
   x = 254,838.63