Finding the Third Proportional to 46,412 and 99,384

Step by Step Solution

1. Step 1: Write the proportion equation
   46,412 : 99,384 = 99,384 : x
2. Step 2: Convert to fraction form
   46,412/99,384 = 99,384/x
3. Step 3: Cross multiply
   46,412x = 99,384 × 99,384
4. Step 4: Simplify right side
   46,412x = 9,877,179,456
5. Step 5: Solve for x
   x = 9,877,179,456/46,412
6. Step 6: Final answer
   x = 212,815.21