Finding the Third Proportional to 83,454.50 and 185,567

Step by Step Solution

1. Step 1: Write the proportion equation
   83,454.50 : 185,567 = 185,567 : x
2. Step 2: Convert to fraction form
   83,454.50/185,567 = 185,567/x
3. Step 3: Cross multiply
   83,454.50x = 185,567 × 185,567
4. Step 4: Simplify right side
   83,454.50x = 34,435,111,489
5. Step 5: Solve for x
   x = 34,435,111,489/83,454.50
6. Step 6: Final answer
   x = 412,621.39