Finding the Third Proportional to 128,761.50 and 196,972.50

Step by Step Solution

1. Step 1: Write the proportion equation
   128,761.50 : 196,972.50 = 196,972.50 : x
2. Step 2: Convert to fraction form
   128,761.50/196,972.50 = 196,972.50/x
3. Step 3: Cross multiply
   128,761.50x = 196,972.50 × 196,972.50
4. Step 4: Simplify right side
   128,761.50x = 38,798,165,756.25
5. Step 5: Solve for x
   x = 38,798,165,756.25/128,761.50
6. Step 6: Final answer
   x = 301,318.06