Finding the Third Proportional to 116,416.50 and 178,008

Step by Step Solution

1. Step 1: Write the proportion equation
   116,416.50 : 178,008 = 178,008 : x
2. Step 2: Convert to fraction form
   116,416.50/178,008 = 178,008/x
3. Step 3: Cross multiply
   116,416.50x = 178,008 × 178,008
4. Step 4: Simplify right side
   116,416.50x = 31,686,848,064
5. Step 5: Solve for x
   x = 31,686,848,064/116,416.50
6. Step 6: Final answer
   x = 272,185.20