Finding the Third Proportional to 231,378 and 469,194

Step by Step Solution

1. Step 1: Write the proportion equation
   231,378 : 469,194 = 469,194 : x
2. Step 2: Convert to fraction form
   231,378/469,194 = 469,194/x
3. Step 3: Cross multiply
   231,378x = 469,194 × 469,194
4. Step 4: Simplify right side
   231,378x = 220,143,009,636
5. Step 5: Solve for x
   x = 220,143,009,636/231,378
6. Step 6: Final answer
   x = 951,443.13