Finding the Third Proportional to 78,354 and 184,932

Step by Step Solution

1. Step 1: Write the proportion equation
   78,354 : 184,932 = 184,932 : x
2. Step 2: Convert to fraction form
   78,354/184,932 = 184,932/x
3. Step 3: Cross multiply
   78,354x = 184,932 × 184,932
4. Step 4: Simplify right side
   78,354x = 34,199,844,624
5. Step 5: Solve for x
   x = 34,199,844,624/78,354
6. Step 6: Final answer
   x = 436,478.61