Finding the Third Proportional to 78,061 and 184,211

Step by Step Solution

1. Step 1: Write the proportion equation
   78,061 : 184,211 = 184,211 : x
2. Step 2: Convert to fraction form
   78,061/184,211 = 184,211/x
3. Step 3: Cross multiply
   78,061x = 184,211 × 184,211
4. Step 4: Simplify right side
   78,061x = 33,933,692,521
5. Step 5: Solve for x
   x = 33,933,692,521/78,061
6. Step 6: Final answer
   x = 434,707.38