Finding the Third Proportional to 194,458 and 291,870

Step by Step Solution

1. Step 1: Write the proportion equation
   194,458 : 291,870 = 291,870 : x
2. Step 2: Convert to fraction form
   194,458/291,870 = 291,870/x
3. Step 3: Cross multiply
   194,458x = 291,870 × 291,870
4. Step 4: Simplify right side
   194,458x = 85,188,096,900
5. Step 5: Solve for x
   x = 85,188,096,900/194,458
6. Step 6: Final answer
   x = 438,079.67