Finding the Third Proportional to 130,412 and 196,870

Step by Step Solution

1. Step 1: Write the proportion equation
   130,412 : 196,870 = 196,870 : x
2. Step 2: Convert to fraction form
   130,412/196,870 = 196,870/x
3. Step 3: Cross multiply
   130,412x = 196,870 × 196,870
4. Step 4: Simplify right side
   130,412x = 38,757,796,900
5. Step 5: Solve for x
   x = 38,757,796,900/130,412
6. Step 6: Final answer
   x = 297,195.02