Finding the Third Proportional to 308,396 and 492,114

Step by Step Solution

1. Step 1: Write the proportion equation
   308,396 : 492,114 = 492,114 : x
2. Step 2: Convert to fraction form
   308,396/492,114 = 492,114/x
3. Step 3: Cross multiply
   308,396x = 492,114 × 492,114
4. Step 4: Simplify right side
   308,396x = 242,176,188,996
5. Step 5: Solve for x
   x = 242,176,188,996/308,396
6. Step 6: Final answer
   x = 785,276.69