Finding the Third Proportional to 78,063 and 184,215

Step by Step Solution

1. Step 1: Write the proportion equation
   78,063 : 184,215 = 184,215 : x
2. Step 2: Convert to fraction form
   78,063/184,215 = 184,215/x
3. Step 3: Cross multiply
   78,063x = 184,215 × 184,215
4. Step 4: Simplify right side
   78,063x = 33,935,166,225
5. Step 5: Solve for x
   x = 33,935,166,225/78,063
6. Step 6: Final answer
   x = 434,715.12