Finding the Third Proportional to 129,870 and 194,282.25

Step by Step Solution

1. Step 1: Write the proportion equation
   129,870 : 194,282.25 = 194,282.25 : x
2. Step 2: Convert to fraction form
   129,870/194,282.25 = 194,282.25/x
3. Step 3: Cross multiply
   129,870x = 194,282.25 × 194,282.25
4. Step 4: Simplify right side
   129,870x = 37,745,592,665.06
5. Step 5: Solve for x
   x = 37,745,592,665.06/129,870
6. Step 6: Final answer
   x = 290,641.35