Finding the Third Proportional to 507,828 and 771,718.50

Step by Step Solution

1. Step 1: Write the proportion equation
   507,828 : 771,718.50 = 771,718.50 : x
2. Step 2: Convert to fraction form
   507,828/771,718.50 = 771,718.50/x
3. Step 3: Cross multiply
   507,828x = 771,718.50 × 771,718.50
4. Step 4: Simplify right side
   507,828x = 595,549,443,242.25
5. Step 5: Solve for x
   x = 595,549,443,242.25/507,828
6. Step 6: Final answer
   x = 1,172,738.49