Finding the Third Proportional to 81,783 and 120,892.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,783 : 120,892.50 = 120,892.50 : x
2. Step 2: Convert to fraction form
   81,783/120,892.50 = 120,892.50/x
3. Step 3: Cross multiply
   81,783x = 120,892.50 × 120,892.50
4. Step 4: Simplify right side
   81,783x = 14,614,996,556.25
5. Step 5: Solve for x
   x = 14,614,996,556.25/81,783
6. Step 6: Final answer
   x = 178,704.58