Finding the Third Proportional to 188,967 and 288,943.50

Step by Step Solution

1. Step 1: Write the proportion equation
   188,967 : 288,943.50 = 288,943.50 : x
2. Step 2: Convert to fraction form
   188,967/288,943.50 = 288,943.50/x
3. Step 3: Cross multiply
   188,967x = 288,943.50 × 288,943.50
4. Step 4: Simplify right side
   188,967x = 83,488,346,192.25
5. Step 5: Solve for x
   x = 83,488,346,192.25/188,967
6. Step 6: Final answer
   x = 441,814.42