Finding the Third Proportional to 83,451 and 185,560.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,451 : 185,560.50 = 185,560.50 : x
2. Step 2: Convert to fraction form
   83,451/185,560.50 = 185,560.50/x
3. Step 3: Cross multiply
   83,451x = 185,560.50 × 185,560.50
4. Step 4: Simplify right side
   83,451x = 34,432,699,160.25
5. Step 5: Solve for x
   x = 34,432,699,160.25/83,451
6. Step 6: Final answer
   x = 412,609.78