Finding the Third Proportional to 118,827 and 189,175.50

Step by Step Solution

1. Step 1: Write the proportion equation
   118,827 : 189,175.50 = 189,175.50 : x
2. Step 2: Convert to fraction form
   118,827/189,175.50 = 189,175.50/x
3. Step 3: Cross multiply
   118,827x = 189,175.50 × 189,175.50
4. Step 4: Simplify right side
   118,827x = 35,787,369,800.25
5. Step 5: Solve for x
   x = 35,787,369,800.25/118,827
6. Step 6: Final answer
   x = 301,172.04