Finding the Third Proportional to 184,230 and 382,308

Step by Step Solution

1. Step 1: Write the proportion equation
   184,230 : 382,308 = 382,308 : x
2. Step 2: Convert to fraction form
   184,230/382,308 = 382,308/x
3. Step 3: Cross multiply
   184,230x = 382,308 × 382,308
4. Step 4: Simplify right side
   184,230x = 146,159,406,864
5. Step 5: Solve for x
   x = 146,159,406,864/184,230
6. Step 6: Final answer
   x = 793,352.91