Finding the Third Proportional to 89,316 and 194,130

Step by Step Solution

1. Step 1: Write the proportion equation
   89,316 : 194,130 = 194,130 : x
2. Step 2: Convert to fraction form
   89,316/194,130 = 194,130/x
3. Step 3: Cross multiply
   89,316x = 194,130 × 194,130
4. Step 4: Simplify right side
   89,316x = 37,686,456,900
5. Step 5: Solve for x
   x = 37,686,456,900/89,316
6. Step 6: Final answer
   x = 421,945.19