Finding the Third Proportional to 516,978 and 757,444.50

Step by Step Solution

1. Step 1: Write the proportion equation
   516,978 : 757,444.50 = 757,444.50 : x
2. Step 2: Convert to fraction form
   516,978/757,444.50 = 757,444.50/x
3. Step 3: Cross multiply
   516,978x = 757,444.50 × 757,444.50
4. Step 4: Simplify right side
   516,978x = 573,722,170,580.25
5. Step 5: Solve for x
   x = 573,722,170,580.25/516,978
6. Step 6: Final answer
   x = 1,109,761.29