Finding the Third Proportional to 129,846 and 202,970.50

Step by Step Solution

1. Step 1: Write the proportion equation
   129,846 : 202,970.50 = 202,970.50 : x
2. Step 2: Convert to fraction form
   129,846/202,970.50 = 202,970.50/x
3. Step 3: Cross multiply
   129,846x = 202,970.50 × 202,970.50
4. Step 4: Simplify right side
   129,846x = 41,197,023,870.25
5. Step 5: Solve for x
   x = 41,197,023,870.25/129,846
6. Step 6: Final answer
   x = 317,276.03