Finding the Third Proportional to 82,020.50 and 123,031

Step by Step Solution

1. Step 1: Write the proportion equation
   82,020.50 : 123,031 = 123,031 : x
2. Step 2: Convert to fraction form
   82,020.50/123,031 = 123,031/x
3. Step 3: Cross multiply
   82,020.50x = 123,031 × 123,031
4. Step 4: Simplify right side
   82,020.50x = 15,136,626,961
5. Step 5: Solve for x
   x = 15,136,626,961/82,020.50
6. Step 6: Final answer
   x = 184,546.88