Finding the Third Proportional to 96,514.50 and 147,642

Step by Step Solution

1. Step 1: Write the proportion equation
   96,514.50 : 147,642 = 147,642 : x
2. Step 2: Convert to fraction form
   96,514.50/147,642 = 147,642/x
3. Step 3: Cross multiply
   96,514.50x = 147,642 × 147,642
4. Step 4: Simplify right side
   96,514.50x = 21,798,160,164
5. Step 5: Solve for x
   x = 21,798,160,164/96,514.50
6. Step 6: Final answer
   x = 225,853.73