Finding the Third Proportional to 409,864.50 and 840,141

Step by Step Solution

1. Step 1: Write the proportion equation
   409,864.50 : 840,141 = 840,141 : x
2. Step 2: Convert to fraction form
   409,864.50/840,141 = 840,141/x
3. Step 3: Cross multiply
   409,864.50x = 840,141 × 840,141
4. Step 4: Simplify right side
   409,864.50x = 705,836,899,881
5. Step 5: Solve for x
   x = 705,836,899,881/409,864.50
6. Step 6: Final answer
   x = 1,722,122.55