Finding the Third Proportional to 88,640 and 194,500

Step by Step Solution

1. Step 1: Write the proportion equation
   88,640 : 194,500 = 194,500 : x
2. Step 2: Convert to fraction form
   88,640/194,500 = 194,500/x
3. Step 3: Cross multiply
   88,640x = 194,500 × 194,500
4. Step 4: Simplify right side
   88,640x = 37,830,250,000
5. Step 5: Solve for x
   x = 37,830,250,000/88,640
6. Step 6: Final answer
   x = 426,785.31