Finding the Third Proportional to 102,020 and 143,412.25

Step by Step Solution

1. Step 1: Write the proportion equation
   102,020 : 143,412.25 = 143,412.25 : x
2. Step 2: Convert to fraction form
   102,020/143,412.25 = 143,412.25/x
3. Step 3: Cross multiply
   102,020x = 143,412.25 × 143,412.25
4. Step 4: Simplify right side
   102,020x = 20,567,073,450.06
5. Step 5: Solve for x
   x = 20,567,073,450.06/102,020
6. Step 6: Final answer
   x = 201,598.45