Finding the Third Proportional to 129,837 and 194,236.50

Step by Step Solution

1. Step 1: Write the proportion equation
   129,837 : 194,236.50 = 194,236.50 : x
2. Step 2: Convert to fraction form
   129,837/194,236.50 = 194,236.50/x
3. Step 3: Cross multiply
   129,837x = 194,236.50 × 194,236.50
4. Step 4: Simplify right side
   129,837x = 37,727,817,932.25
5. Step 5: Solve for x
   x = 37,727,817,932.25/129,837
6. Step 6: Final answer
   x = 290,578.32