Finding the Third Proportional to 492,196.50 and 771,097.50

Step by Step Solution

1. Step 1: Write the proportion equation
   492,196.50 : 771,097.50 = 771,097.50 : x
2. Step 2: Convert to fraction form
   492,196.50/771,097.50 = 771,097.50/x
3. Step 3: Cross multiply
   492,196.50x = 771,097.50 × 771,097.50
4. Step 4: Simplify right side
   492,196.50x = 594,591,354,506.25
5. Step 5: Solve for x
   x = 594,591,354,506.25/492,196.50
6. Step 6: Final answer
   x = 1,208,036.54