Finding the Third Proportional to 99,783 and 213,402

Step by Step Solution

1. Step 1: Write the proportion equation
   99,783 : 213,402 = 213,402 : x
2. Step 2: Convert to fraction form
   99,783/213,402 = 213,402/x
3. Step 3: Cross multiply
   99,783x = 213,402 × 213,402
4. Step 4: Simplify right side
   99,783x = 45,540,413,604
5. Step 5: Solve for x
   x = 45,540,413,604/99,783
6. Step 6: Final answer
   x = 456,394.51