Finding the Third Proportional to 116,375 and 177,945

Step by Step Solution

1. Step 1: Write the proportion equation
   116,375 : 177,945 = 177,945 : x
2. Step 2: Convert to fraction form
   116,375/177,945 = 177,945/x
3. Step 3: Cross multiply
   116,375x = 177,945 × 177,945
4. Step 4: Simplify right side
   116,375x = 31,664,423,025
5. Step 5: Solve for x
   x = 31,664,423,025/116,375
6. Step 6: Final answer
   x = 272,089.56