Finding the Third Proportional to 103,699 and 152,145

Step by Step Solution

1. Step 1: Write the proportion equation
   103,699 : 152,145 = 152,145 : x
2. Step 2: Convert to fraction form
   103,699/152,145 = 152,145/x
3. Step 3: Cross multiply
   103,699x = 152,145 × 152,145
4. Step 4: Simplify right side
   103,699x = 23,148,101,025
5. Step 5: Solve for x
   x = 23,148,101,025/103,699
6. Step 6: Final answer
   x = 223,223.96