Finding the Third Proportional to 85,254 and 177,456

Step by Step Solution

1. Step 1: Write the proportion equation
   85,254 : 177,456 = 177,456 : x
2. Step 2: Convert to fraction form
   85,254/177,456 = 177,456/x
3. Step 3: Cross multiply
   85,254x = 177,456 × 177,456
4. Step 4: Simplify right side
   85,254x = 31,490,631,936
5. Step 5: Solve for x
   x = 31,490,631,936/85,254
6. Step 6: Final answer
   x = 369,374.25