Finding the Third Proportional to 77,942 and 171,772

Step by Step Solution

1. Step 1: Write the proportion equation
   77,942 : 171,772 = 171,772 : x
2. Step 2: Convert to fraction form
   77,942/171,772 = 171,772/x
3. Step 3: Cross multiply
   77,942x = 171,772 × 171,772
4. Step 4: Simplify right side
   77,942x = 29,505,619,984
5. Step 5: Solve for x
   x = 29,505,619,984/77,942
6. Step 6: Final answer
   x = 378,558.67