Finding the Third Proportional to 78,188 and 184,390

Step by Step Solution

1. Step 1: Write the proportion equation
   78,188 : 184,390 = 184,390 : x
2. Step 2: Convert to fraction form
   78,188/184,390 = 184,390/x
3. Step 3: Cross multiply
   78,188x = 184,390 × 184,390
4. Step 4: Simplify right side
   78,188x = 33,999,672,100
5. Step 5: Solve for x
   x = 33,999,672,100/78,188
6. Step 6: Final answer
   x = 434,845.14