Finding the Third Proportional to 414,165.75 and 905,875.50

Step by Step Solution

1. Step 1: Write the proportion equation
   414,165.75 : 905,875.50 = 905,875.50 : x
2. Step 2: Convert to fraction form
   414,165.75/905,875.50 = 905,875.50/x
3. Step 3: Cross multiply
   414,165.75x = 905,875.50 × 905,875.50
4. Step 4: Simplify right side
   414,165.75x = 820,610,421,500.25
5. Step 5: Solve for x
   x = 820,610,421,500.25/414,165.75
6. Step 6: Final answer
   x = 1,981,357.52