Finding the Third Proportional to 89,930 and 194,646

Step by Step Solution

1. Step 1: Write the proportion equation
   89,930 : 194,646 = 194,646 : x
2. Step 2: Convert to fraction form
   89,930/194,646 = 194,646/x
3. Step 3: Cross multiply
   89,930x = 194,646 × 194,646
4. Step 4: Simplify right side
   89,930x = 37,887,065,316
5. Step 5: Solve for x
   x = 37,887,065,316/89,930
6. Step 6: Final answer
   x = 421,295.07