Finding the Third Proportional to 46,818 and 101,412

Step by Step Solution

1. Step 1: Write the proportion equation
   46,818 : 101,412 = 101,412 : x
2. Step 2: Convert to fraction form
   46,818/101,412 = 101,412/x
3. Step 3: Cross multiply
   46,818x = 101,412 × 101,412
4. Step 4: Simplify right side
   46,818x = 10,284,393,744
5. Step 5: Solve for x
   x = 10,284,393,744/46,818
6. Step 6: Final answer
   x = 219,667.52