Finding the Third Proportional to 383,427 and 830,326.50

Step by Step Solution

1. Step 1: Write the proportion equation
   383,427 : 830,326.50 = 830,326.50 : x
2. Step 2: Convert to fraction form
   383,427/830,326.50 = 830,326.50/x
3. Step 3: Cross multiply
   383,427x = 830,326.50 × 830,326.50
4. Step 4: Simplify right side
   383,427x = 689,442,096,602.25
5. Step 5: Solve for x
   x = 689,442,096,602.25/383,427
6. Step 6: Final answer
   x = 1,798,105.24