Finding the Third Proportional to 78,831 and 182,308.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,831 : 182,308.50 = 182,308.50 : x
2. Step 2: Convert to fraction form
   78,831/182,308.50 = 182,308.50/x
3. Step 3: Cross multiply
   78,831x = 182,308.50 × 182,308.50
4. Step 4: Simplify right side
   78,831x = 33,236,389,172.25
5. Step 5: Solve for x
   x = 33,236,389,172.25/78,831
6. Step 6: Final answer
   x = 421,615.72