Finding the Third Proportional to 514,749 and 742,589.50

Step by Step Solution

1. Step 1: Write the proportion equation
   514,749 : 742,589.50 = 742,589.50 : x
2. Step 2: Convert to fraction form
   514,749/742,589.50 = 742,589.50/x
3. Step 3: Cross multiply
   514,749x = 742,589.50 × 742,589.50
4. Step 4: Simplify right side
   514,749x = 551,439,165,510.25
5. Step 5: Solve for x
   x = 551,439,165,510.25/514,749
6. Step 6: Final answer
   x = 1,071,277.78