Finding the Third Proportional to 78,342 and 184,902

Step by Step Solution

1. Step 1: Write the proportion equation
   78,342 : 184,902 = 184,902 : x
2. Step 2: Convert to fraction form
   78,342/184,902 = 184,902/x
3. Step 3: Cross multiply
   78,342x = 184,902 × 184,902
4. Step 4: Simplify right side
   78,342x = 34,188,749,604
5. Step 5: Solve for x
   x = 34,188,749,604/78,342
6. Step 6: Final answer
   x = 436,403.84