Finding the Third Proportional to 188,640 and 285,397.50

Step by Step Solution

1. Step 1: Write the proportion equation
   188,640 : 285,397.50 = 285,397.50 : x
2. Step 2: Convert to fraction form
   188,640/285,397.50 = 285,397.50/x
3. Step 3: Cross multiply
   188,640x = 285,397.50 × 285,397.50
4. Step 4: Simplify right side
   188,640x = 81,451,733,006.25
5. Step 5: Solve for x
   x = 81,451,733,006.25/188,640
6. Step 6: Final answer
   x = 431,784.00