Finding the Third Proportional to 118,827 and 277,566.75

Step by Step Solution

1. Step 1: Write the proportion equation
   118,827 : 277,566.75 = 277,566.75 : x
2. Step 2: Convert to fraction form
   118,827/277,566.75 = 277,566.75/x
3. Step 3: Cross multiply
   118,827x = 277,566.75 × 277,566.75
4. Step 4: Simplify right side
   118,827x = 77,043,300,705.56
5. Step 5: Solve for x
   x = 77,043,300,705.56/118,827
6. Step 6: Final answer
   x = 648,365.28