Finding the Third Proportional to 189,540 and 407,642.63

Step by Step Solution

1. Step 1: Write the proportion equation
   189,540 : 407,642.63 = 407,642.63 : x
2. Step 2: Convert to fraction form
   189,540/407,642.63 = 407,642.63/x
3. Step 3: Cross multiply
   189,540x = 407,642.63 × 407,642.63
4. Step 4: Simplify right side
   189,540x = 166,172,509,716.89
5. Step 5: Solve for x
   x = 166,172,509,716.89/189,540
6. Step 6: Final answer
   x = 876,714.73