Finding the Third Proportional to 507,054 and 779,446.50

Step by Step Solution

1. Step 1: Write the proportion equation
   507,054 : 779,446.50 = 779,446.50 : x
2. Step 2: Convert to fraction form
   507,054/779,446.50 = 779,446.50/x
3. Step 3: Cross multiply
   507,054x = 779,446.50 × 779,446.50
4. Step 4: Simplify right side
   507,054x = 607,536,846,362.25
5. Step 5: Solve for x
   x = 607,536,846,362.25/507,054
6. Step 6: Final answer
   x = 1,198,169.91