Finding the Third Proportional to 46,857 and 102,034

Step by Step Solution

1. Step 1: Write the proportion equation
   46,857 : 102,034 = 102,034 : x
2. Step 2: Convert to fraction form
   46,857/102,034 = 102,034/x
3. Step 3: Cross multiply
   46,857x = 102,034 × 102,034
4. Step 4: Simplify right side
   46,857x = 10,410,937,156
5. Step 5: Solve for x
   x = 10,410,937,156/46,857
6. Step 6: Final answer
   x = 222,185.31