Finding the Third Proportional to 578,784 and 905,222

Step by Step Solution

1. Step 1: Write the proportion equation
   578,784 : 905,222 = 905,222 : x
2. Step 2: Convert to fraction form
   578,784/905,222 = 905,222/x
3. Step 3: Cross multiply
   578,784x = 905,222 × 905,222
4. Step 4: Simplify right side
   578,784x = 819,426,869,284
5. Step 5: Solve for x
   x = 819,426,869,284/578,784
6. Step 6: Final answer
   x = 1,415,773.19