Finding the Third Proportional to 83,451 and 185,559.75

Step by Step Solution

1. Step 1: Write the proportion equation
   83,451 : 185,559.75 = 185,559.75 : x
2. Step 2: Convert to fraction form
   83,451/185,559.75 = 185,559.75/x
3. Step 3: Cross multiply
   83,451x = 185,559.75 × 185,559.75
4. Step 4: Simplify right side
   83,451x = 34,432,420,820.06
5. Step 5: Solve for x
   x = 34,432,420,820.06/83,451
6. Step 6: Final answer
   x = 412,606.45