Finding the Third Proportional to 78,012 and 184,093.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,012 : 184,093.50 = 184,093.50 : x
2. Step 2: Convert to fraction form
   78,012/184,093.50 = 184,093.50/x
3. Step 3: Cross multiply
   78,012x = 184,093.50 × 184,093.50
4. Step 4: Simplify right side
   78,012x = 33,890,416,742.25
5. Step 5: Solve for x
   x = 33,890,416,742.25/78,012
6. Step 6: Final answer
   x = 434,425.69