Finding the Third Proportional to 81,842.63 and 123,493.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,842.63 : 123,493.50 = 123,493.50 : x
2. Step 2: Convert to fraction form
   81,842.63/123,493.50 = 123,493.50/x
3. Step 3: Cross multiply
   81,842.63x = 123,493.50 × 123,493.50
4. Step 4: Simplify right side
   81,842.63x = 15,250,644,542.25
5. Step 5: Solve for x
   x = 15,250,644,542.25/81,842.63
6. Step 6: Final answer
   x = 186,341.10