Finding the Third Proportional to 183,686 and 283,713.50

Step by Step Solution

1. Step 1: Write the proportion equation
   183,686 : 283,713.50 = 283,713.50 : x
2. Step 2: Convert to fraction form
   183,686/283,713.50 = 283,713.50/x
3. Step 3: Cross multiply
   183,686x = 283,713.50 × 283,713.50
4. Step 4: Simplify right side
   183,686x = 80,493,350,082.25
5. Step 5: Solve for x
   x = 80,493,350,082.25/183,686
6. Step 6: Final answer
   x = 438,211.68