Finding the Third Proportional to 118,827 and 179,536.50

Step by Step Solution

1. Step 1: Write the proportion equation
   118,827 : 179,536.50 = 179,536.50 : x
2. Step 2: Convert to fraction form
   118,827/179,536.50 = 179,536.50/x
3. Step 3: Cross multiply
   118,827x = 179,536.50 × 179,536.50
4. Step 4: Simplify right side
   118,827x = 32,233,354,832.25
5. Step 5: Solve for x
   x = 32,233,354,832.25/118,827
6. Step 6: Final answer
   x = 271,262.88