Finding the Third Proportional to 83,774.50 and 182,603

Step by Step Solution

1. Step 1: Write the proportion equation
   83,774.50 : 182,603 = 182,603 : x
2. Step 2: Convert to fraction form
   83,774.50/182,603 = 182,603/x
3. Step 3: Cross multiply
   83,774.50x = 182,603 × 182,603
4. Step 4: Simplify right side
   83,774.50x = 33,343,855,609
5. Step 5: Solve for x
   x = 33,343,855,609/83,774.50
6. Step 6: Final answer
   x = 398,019.15