Finding the Third Proportional to 52,822 and 116,012

Step by Step Solution

1. Step 1: Write the proportion equation
   52,822 : 116,012 = 116,012 : x
2. Step 2: Convert to fraction form
   52,822/116,012 = 116,012/x
3. Step 3: Cross multiply
   52,822x = 116,012 × 116,012
4. Step 4: Simplify right side
   52,822x = 13,458,784,144
5. Step 5: Solve for x
   x = 13,458,784,144/52,822
6. Step 6: Final answer
   x = 254,795.05