Finding the Third Proportional to 184,842 and 378,442.13

Step by Step Solution

1. Step 1: Write the proportion equation
   184,842 : 378,442.13 = 378,442.13 : x
2. Step 2: Convert to fraction form
   184,842/378,442.13 = 378,442.13/x
3. Step 3: Cross multiply
   184,842x = 378,442.13 × 378,442.13
4. Step 4: Simplify right side
   184,842x = 143,218,441,974.52
5. Step 5: Solve for x
   x = 143,218,441,974.52/184,842
6. Step 6: Final answer
   x = 774,815.47