Finding the Third Proportional to 129,870 and 194,809.50

Step by Step Solution

1. Step 1: Write the proportion equation
   129,870 : 194,809.50 = 194,809.50 : x
2. Step 2: Convert to fraction form
   129,870/194,809.50 = 194,809.50/x
3. Step 3: Cross multiply
   129,870x = 194,809.50 × 194,809.50
4. Step 4: Simplify right side
   129,870x = 37,950,741,290.25
5. Step 5: Solve for x
   x = 37,950,741,290.25/129,870
6. Step 6: Final answer
   x = 292,221.00