Finding the Third Proportional to 181,302 and 384,214.50

Step by Step Solution

1. Step 1: Write the proportion equation
   181,302 : 384,214.50 = 384,214.50 : x
2. Step 2: Convert to fraction form
   181,302/384,214.50 = 384,214.50/x
3. Step 3: Cross multiply
   181,302x = 384,214.50 × 384,214.50
4. Step 4: Simplify right side
   181,302x = 147,620,782,010.25
5. Step 5: Solve for x
   x = 147,620,782,010.25/181,302
6. Step 6: Final answer
   x = 814,225.89