Finding the Third Proportional to 83,454 and 185,565

Step by Step Solution

1. Step 1: Write the proportion equation
   83,454 : 185,565 = 185,565 : x
2. Step 2: Convert to fraction form
   83,454/185,565 = 185,565/x
3. Step 3: Cross multiply
   83,454x = 185,565 × 185,565
4. Step 4: Simplify right side
   83,454x = 34,434,369,225
5. Step 5: Solve for x
   x = 34,434,369,225/83,454
6. Step 6: Final answer
   x = 412,614.96