Finding the Third Proportional to 78,366 and 184,962

Step by Step Solution

1. Step 1: Write the proportion equation
   78,366 : 184,962 = 184,962 : x
2. Step 2: Convert to fraction form
   78,366/184,962 = 184,962/x
3. Step 3: Cross multiply
   78,366x = 184,962 × 184,962
4. Step 4: Simplify right side
   78,366x = 34,210,941,444
5. Step 5: Solve for x
   x = 34,210,941,444/78,366
6. Step 6: Final answer
   x = 436,553.37