Finding the Third Proportional to 78,063 and 184,216

Step by Step Solution

1. Step 1: Write the proportion equation
   78,063 : 184,216 = 184,216 : x
2. Step 2: Convert to fraction form
   78,063/184,216 = 184,216/x
3. Step 3: Cross multiply
   78,063x = 184,216 × 184,216
4. Step 4: Simplify right side
   78,063x = 33,935,534,656
5. Step 5: Solve for x
   x = 33,935,534,656/78,063
6. Step 6: Final answer
   x = 434,719.84