Finding the Third Proportional to 363,870 and 765,432

Step by Step Solution

1. Step 1: Write the proportion equation
   363,870 : 765,432 = 765,432 : x
2. Step 2: Convert to fraction form
   363,870/765,432 = 765,432/x
3. Step 3: Cross multiply
   363,870x = 765,432 × 765,432
4. Step 4: Simplify right side
   363,870x = 585,886,146,624
5. Step 5: Solve for x
   x = 585,886,146,624/363,870
6. Step 6: Final answer
   x = 1,610,152.38