Finding the Third Proportional to 78,978 and 186,440

Step by Step Solution

1. Step 1: Write the proportion equation
   78,978 : 186,440 = 186,440 : x
2. Step 2: Convert to fraction form
   78,978/186,440 = 186,440/x
3. Step 3: Cross multiply
   78,978x = 186,440 × 186,440
4. Step 4: Simplify right side
   78,978x = 34,759,873,600
5. Step 5: Solve for x
   x = 34,759,873,600/78,978
6. Step 6: Final answer
   x = 440,120.97