Finding the Third Proportional to 270,181 and 423,814.50

Step by Step Solution

1. Step 1: Write the proportion equation
   270,181 : 423,814.50 = 423,814.50 : x
2. Step 2: Convert to fraction form
   270,181/423,814.50 = 423,814.50/x
3. Step 3: Cross multiply
   270,181x = 423,814.50 × 423,814.50
4. Step 4: Simplify right side
   270,181x = 179,618,730,410.25
5. Step 5: Solve for x
   x = 179,618,730,410.25/270,181
6. Step 6: Final answer
   x = 664,808.89