Finding the Third Proportional to 100,770 and 152,288

Step by Step Solution

1. Step 1: Write the proportion equation
   100,770 : 152,288 = 152,288 : x
2. Step 2: Convert to fraction form
   100,770/152,288 = 152,288/x
3. Step 3: Cross multiply
   100,770x = 152,288 × 152,288
4. Step 4: Simplify right side
   100,770x = 23,191,634,944
5. Step 5: Solve for x
   x = 23,191,634,944/100,770
6. Step 6: Final answer
   x = 230,144.24