Finding the Third Proportional to 196,830 and 297,978.75

Step by Step Solution

1. Step 1: Write the proportion equation
   196,830 : 297,978.75 = 297,978.75 : x
2. Step 2: Convert to fraction form
   196,830/297,978.75 = 297,978.75/x
3. Step 3: Cross multiply
   196,830x = 297,978.75 × 297,978.75
4. Step 4: Simplify right side
   196,830x = 88,791,335,451.56
5. Step 5: Solve for x
   x = 88,791,335,451.56/196,830
6. Step 6: Final answer
   x = 451,106.72