Finding the Third Proportional to 285,655 and 434,090.50

Step by Step Solution

1. Step 1: Write the proportion equation
   285,655 : 434,090.50 = 434,090.50 : x
2. Step 2: Convert to fraction form
   285,655/434,090.50 = 434,090.50/x
3. Step 3: Cross multiply
   285,655x = 434,090.50 × 434,090.50
4. Step 4: Simplify right side
   285,655x = 188,434,562,190.25
5. Step 5: Solve for x
   x = 188,434,562,190.25/285,655
6. Step 6: Final answer
   x = 659,657.85