Finding the Third Proportional to 189,549.75 and 413,833.31

Step by Step Solution

1. Step 1: Write the proportion equation
   189,549.75 : 413,833.31 = 413,833.31 : x
2. Step 2: Convert to fraction form
   189,549.75/413,833.31 = 413,833.31/x
3. Step 3: Cross multiply
   189,549.75x = 413,833.31 × 413,833.31
4. Step 4: Simplify right side
   189,549.75x = 171,258,010,534.72
5. Step 5: Solve for x
   x = 171,258,010,534.72/189,549.75
6. Step 6: Final answer
   x = 903,499.01