Finding the Third Proportional to 386,721 and 830,567.25

Step by Step Solution

1. Step 1: Write the proportion equation
   386,721 : 830,567.25 = 830,567.25 : x
2. Step 2: Convert to fraction form
   386,721/830,567.25 = 830,567.25/x
3. Step 3: Cross multiply
   386,721x = 830,567.25 × 830,567.25
4. Step 4: Simplify right side
   386,721x = 689,841,956,772.56
5. Step 5: Solve for x
   x = 689,841,956,772.56/386,721
6. Step 6: Final answer
   x = 1,783,823.37