Finding the Third Proportional to 103,644 and 160,047

Step by Step Solution

1. Step 1: Write the proportion equation
   103,644 : 160,047 = 160,047 : x
2. Step 2: Convert to fraction form
   103,644/160,047 = 160,047/x
3. Step 3: Cross multiply
   103,644x = 160,047 × 160,047
4. Step 4: Simplify right side
   103,644x = 25,615,042,209
5. Step 5: Solve for x
   x = 25,615,042,209/103,644
6. Step 6: Final answer
   x = 247,144.48