Finding the Third Proportional to 118,165.50 and 177,336

Step by Step Solution

1. Step 1: Write the proportion equation
   118,165.50 : 177,336 = 177,336 : x
2. Step 2: Convert to fraction form
   118,165.50/177,336 = 177,336/x
3. Step 3: Cross multiply
   118,165.50x = 177,336 × 177,336
4. Step 4: Simplify right side
   118,165.50x = 31,448,056,896
5. Step 5: Solve for x
   x = 31,448,056,896/118,165.50
6. Step 6: Final answer
   x = 266,135.69