Finding the Third Proportional to 101,514 and 152,279

Step by Step Solution

1. Step 1: Write the proportion equation
   101,514 : 152,279 = 152,279 : x
2. Step 2: Convert to fraction form
   101,514/152,279 = 152,279/x
3. Step 3: Cross multiply
   101,514x = 152,279 × 152,279
4. Step 4: Simplify right side
   101,514x = 23,188,893,841
5. Step 5: Solve for x
   x = 23,188,893,841/101,514
6. Step 6: Final answer
   x = 228,430.50