Finding the Third Proportional to 77,942 and 188,456

Step by Step Solution

1. Step 1: Write the proportion equation
   77,942 : 188,456 = 188,456 : x
2. Step 2: Convert to fraction form
   77,942/188,456 = 188,456/x
3. Step 3: Cross multiply
   77,942x = 188,456 × 188,456
4. Step 4: Simplify right side
   77,942x = 35,515,663,936
5. Step 5: Solve for x
   x = 35,515,663,936/77,942
6. Step 6: Final answer
   x = 455,667.85