Finding the Third Proportional to 423,870 and 594,141

Step by Step Solution

1. Step 1: Write the proportion equation
   423,870 : 594,141 = 594,141 : x
2. Step 2: Convert to fraction form
   423,870/594,141 = 594,141/x
3. Step 3: Cross multiply
   423,870x = 594,141 × 594,141
4. Step 4: Simplify right side
   423,870x = 353,003,527,881
5. Step 5: Solve for x
   x = 353,003,527,881/423,870
6. Step 6: Final answer
   x = 832,810.83