Finding the Third Proportional to 385,665 and 830,596.50

Step by Step Solution

1. Step 1: Write the proportion equation
   385,665 : 830,596.50 = 830,596.50 : x
2. Step 2: Convert to fraction form
   385,665/830,596.50 = 830,596.50/x
3. Step 3: Cross multiply
   385,665x = 830,596.50 × 830,596.50
4. Step 4: Simplify right side
   385,665x = 689,890,545,812.25
5. Step 5: Solve for x
   x = 689,890,545,812.25/385,665
6. Step 6: Final answer
   x = 1,788,833.69