Finding the Third Proportional to 45,644 and 99,692

Step by Step Solution

1. Step 1: Write the proportion equation
   45,644 : 99,692 = 99,692 : x
2. Step 2: Convert to fraction form
   45,644/99,692 = 99,692/x
3. Step 3: Cross multiply
   45,644x = 99,692 × 99,692
4. Step 4: Simplify right side
   45,644x = 9,938,494,864
5. Step 5: Solve for x
   x = 9,938,494,864/45,644
6. Step 6: Final answer
   x = 217,739.35