Finding the Third Proportional to 103,699 and 152,147

Step by Step Solution

1. Step 1: Write the proportion equation
   103,699 : 152,147 = 152,147 : x
2. Step 2: Convert to fraction form
   103,699/152,147 = 152,147/x
3. Step 3: Cross multiply
   103,699x = 152,147 × 152,147
4. Step 4: Simplify right side
   103,699x = 23,148,709,609
5. Step 5: Solve for x
   x = 23,148,709,609/103,699
6. Step 6: Final answer
   x = 223,229.82