Finding the Third Proportional to 81,977 and 193,440.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,977 : 193,440.50 = 193,440.50 : x
2. Step 2: Convert to fraction form
   81,977/193,440.50 = 193,440.50/x
3. Step 3: Cross multiply
   81,977x = 193,440.50 × 193,440.50
4. Step 4: Simplify right side
   81,977x = 37,419,227,040.25
5. Step 5: Solve for x
   x = 37,419,227,040.25/81,977
6. Step 6: Final answer
   x = 456,460.07