Finding the Third Proportional to 432,784.69 and 678,886.31

Step by Step Solution

1. Step 1: Write the proportion equation
   432,784.69 : 678,886.31 = 678,886.31 : x
2. Step 2: Convert to fraction form
   432,784.69/678,886.31 = 678,886.31/x
3. Step 3: Cross multiply
   432,784.69x = 678,886.31 × 678,886.31
4. Step 4: Simplify right side
   432,784.69x = 460,886,625,299.85
5. Step 5: Solve for x
   x = 460,886,625,299.85/432,784.69
6. Step 6: Final answer
   x = 1,064,932.84