Finding the Third Proportional to 116,388 and 177,966

Step by Step Solution

1. Step 1: Write the proportion equation
   116,388 : 177,966 = 177,966 : x
2. Step 2: Convert to fraction form
   116,388/177,966 = 177,966/x
3. Step 3: Cross multiply
   116,388x = 177,966 × 177,966
4. Step 4: Simplify right side
   116,388x = 31,671,897,156
5. Step 5: Solve for x
   x = 31,671,897,156/116,388
6. Step 6: Final answer
   x = 272,123.39