Finding the Third Proportional to 282,342.50 and 402,470

Step by Step Solution

1. Step 1: Write the proportion equation
   282,342.50 : 402,470 = 402,470 : x
2. Step 2: Convert to fraction form
   282,342.50/402,470 = 402,470/x
3. Step 3: Cross multiply
   282,342.50x = 402,470 × 402,470
4. Step 4: Simplify right side
   282,342.50x = 161,982,100,900
5. Step 5: Solve for x
   x = 161,982,100,900/282,342.50
6. Step 6: Final answer
   x = 573,707.82