Finding the Third Proportional to 101,818 and 152,919

Step by Step Solution

1. Step 1: Write the proportion equation
   101,818 : 152,919 = 152,919 : x
2. Step 2: Convert to fraction form
   101,818/152,919 = 152,919/x
3. Step 3: Cross multiply
   101,818x = 152,919 × 152,919
4. Step 4: Simplify right side
   101,818x = 23,384,220,561
5. Step 5: Solve for x
   x = 23,384,220,561/101,818
6. Step 6: Final answer
   x = 229,666.86