Finding the Third Proportional to 178,200 and 367,699.50

Step by Step Solution

1. Step 1: Write the proportion equation
   178,200 : 367,699.50 = 367,699.50 : x
2. Step 2: Convert to fraction form
   178,200/367,699.50 = 367,699.50/x
3. Step 3: Cross multiply
   178,200x = 367,699.50 × 367,699.50
4. Step 4: Simplify right side
   178,200x = 135,202,922,300.25
5. Step 5: Solve for x
   x = 135,202,922,300.25/178,200
6. Step 6: Final answer
   x = 758,714.49