Finding the Third Proportional to 386,382 and 829,897.50

Step by Step Solution

1. Step 1: Write the proportion equation
   386,382 : 829,897.50 = 829,897.50 : x
2. Step 2: Convert to fraction form
   386,382/829,897.50 = 829,897.50/x
3. Step 3: Cross multiply
   386,382x = 829,897.50 × 829,897.50
4. Step 4: Simplify right side
   386,382x = 688,729,860,506.25
5. Step 5: Solve for x
   x = 688,729,860,506.25/386,382
6. Step 6: Final answer
   x = 1,782,510.21