Finding the Third Proportional to 189,510.31 and 414,626.88

Step by Step Solution

1. Step 1: Write the proportion equation
   189,510.31 : 414,626.88 = 414,626.88 : x
2. Step 2: Convert to fraction form
   189,510.31/414,626.88 = 414,626.88/x
3. Step 3: Cross multiply
   189,510.31x = 414,626.88 × 414,626.88
4. Step 4: Simplify right side
   189,510.31x = 171,915,445,472.27
5. Step 5: Solve for x
   x = 171,915,445,472.27/189,510.31
6. Step 6: Final answer
   x = 907,156.15