Finding the Third Proportional to 118,191 and 177,369.50

Step by Step Solution

1. Step 1: Write the proportion equation
   118,191 : 177,369.50 = 177,369.50 : x
2. Step 2: Convert to fraction form
   118,191/177,369.50 = 177,369.50/x
3. Step 3: Cross multiply
   118,191x = 177,369.50 × 177,369.50
4. Step 4: Simplify right side
   118,191x = 31,459,939,530.25
5. Step 5: Solve for x
   x = 31,459,939,530.25/118,191
6. Step 6: Final answer
   x = 266,178.81