Finding the Third Proportional to 118,683 and 181,552.50

Step by Step Solution

1. Step 1: Write the proportion equation
   118,683 : 181,552.50 = 181,552.50 : x
2. Step 2: Convert to fraction form
   118,683/181,552.50 = 181,552.50/x
3. Step 3: Cross multiply
   118,683x = 181,552.50 × 181,552.50
4. Step 4: Simplify right side
   118,683x = 32,961,310,256.25
5. Step 5: Solve for x
   x = 32,961,310,256.25/118,683
6. Step 6: Final answer
   x = 277,725.62