Finding the Third Proportional to 129,870 and 195,655.50

Step by Step Solution

1. Step 1: Write the proportion equation
   129,870 : 195,655.50 = 195,655.50 : x
2. Step 2: Convert to fraction form
   129,870/195,655.50 = 195,655.50/x
3. Step 3: Cross multiply
   129,870x = 195,655.50 × 195,655.50
4. Step 4: Simplify right side
   129,870x = 38,281,074,680.25
5. Step 5: Solve for x
   x = 38,281,074,680.25/129,870
6. Step 6: Final answer
   x = 294,764.57