Finding the Third Proportional to 78,174 and 184,350

Step by Step Solution

1. Step 1: Write the proportion equation
   78,174 : 184,350 = 184,350 : x
2. Step 2: Convert to fraction form
   78,174/184,350 = 184,350/x
3. Step 3: Cross multiply
   78,174x = 184,350 × 184,350
4. Step 4: Simplify right side
   78,174x = 33,984,922,500
5. Step 5: Solve for x
   x = 33,984,922,500/78,174
6. Step 6: Final answer
   x = 434,734.34