Finding the Third Proportional to 129,901 and 194,869.50

Step by Step Solution

1. Step 1: Write the proportion equation
   129,901 : 194,869.50 = 194,869.50 : x
2. Step 2: Convert to fraction form
   129,901/194,869.50 = 194,869.50/x
3. Step 3: Cross multiply
   129,901x = 194,869.50 × 194,869.50
4. Step 4: Simplify right side
   129,901x = 37,974,122,030.25
5. Step 5: Solve for x
   x = 37,974,122,030.25/129,901
6. Step 6: Final answer
   x = 292,331.25