Finding the Third Proportional to 102,016.50 and 143,407

Step by Step Solution

1. Step 1: Write the proportion equation
   102,016.50 : 143,407 = 143,407 : x
2. Step 2: Convert to fraction form
   102,016.50/143,407 = 143,407/x
3. Step 3: Cross multiply
   102,016.50x = 143,407 × 143,407
4. Step 4: Simplify right side
   102,016.50x = 20,565,567,649
5. Step 5: Solve for x
   x = 20,565,567,649/102,016.50
6. Step 6: Final answer
   x = 201,590.60