Finding the Third Proportional to 382,107 and 830,551.50

Step by Step Solution

1. Step 1: Write the proportion equation
   382,107 : 830,551.50 = 830,551.50 : x
2. Step 2: Convert to fraction form
   382,107/830,551.50 = 830,551.50/x
3. Step 3: Cross multiply
   382,107x = 830,551.50 × 830,551.50
4. Step 4: Simplify right side
   382,107x = 689,815,794,152.25
5. Step 5: Solve for x
   x = 689,815,794,152.25/382,107
6. Step 6: Final answer
   x = 1,805,294.84