Finding the Third Proportional to 308,549 and 492,714

Step by Step Solution

1. Step 1: Write the proportion equation
   308,549 : 492,714 = 492,714 : x
2. Step 2: Convert to fraction form
   308,549/492,714 = 492,714/x
3. Step 3: Cross multiply
   308,549x = 492,714 × 492,714
4. Step 4: Simplify right side
   308,549x = 242,767,085,796
5. Step 5: Solve for x
   x = 242,767,085,796/308,549
6. Step 6: Final answer
   x = 786,802.37