Finding the Third Proportional to 118,495 and 188,446.50

Step by Step Solution

1. Step 1: Write the proportion equation
   118,495 : 188,446.50 = 188,446.50 : x
2. Step 2: Convert to fraction form
   118,495/188,446.50 = 188,446.50/x
3. Step 3: Cross multiply
   118,495x = 188,446.50 × 188,446.50
4. Step 4: Simplify right side
   118,495x = 35,512,083,362.25
5. Step 5: Solve for x
   x = 35,512,083,362.25/118,495
6. Step 6: Final answer
   x = 299,692.67