Finding the Third Proportional to 130,947 and 196,204.50

Step by Step Solution

1. Step 1: Write the proportion equation
   130,947 : 196,204.50 = 196,204.50 : x
2. Step 2: Convert to fraction form
   130,947/196,204.50 = 196,204.50/x
3. Step 3: Cross multiply
   130,947x = 196,204.50 × 196,204.50
4. Step 4: Simplify right side
   130,947x = 38,496,205,820.25
5. Step 5: Solve for x
   x = 38,496,205,820.25/130,947
6. Step 6: Final answer
   x = 293,983.11