Finding the Third Proportional to 118,172 and 177,343.50

Step by Step Solution

1. Step 1: Write the proportion equation
   118,172 : 177,343.50 = 177,343.50 : x
2. Step 2: Convert to fraction form
   118,172/177,343.50 = 177,343.50/x
3. Step 3: Cross multiply
   118,172x = 177,343.50 × 177,343.50
4. Step 4: Simplify right side
   118,172x = 31,450,716,992.25
5. Step 5: Solve for x
   x = 31,450,716,992.25/118,172
6. Step 6: Final answer
   x = 266,143.56