Finding the Third Proportional to 105,047 and 157,644

Step by Step Solution

1. Step 1: Write the proportion equation
   105,047 : 157,644 = 157,644 : x
2. Step 2: Convert to fraction form
   105,047/157,644 = 157,644/x
3. Step 3: Cross multiply
   105,047x = 157,644 × 157,644
4. Step 4: Simplify right side
   105,047x = 24,851,630,736
5. Step 5: Solve for x
   x = 24,851,630,736/105,047
6. Step 6: Final answer
   x = 236,576.30