Finding the Third Proportional to 538,178.50 and 832,783

Step by Step Solution

1. Step 1: Write the proportion equation
   538,178.50 : 832,783 = 832,783 : x
2. Step 2: Convert to fraction form
   538,178.50/832,783 = 832,783/x
3. Step 3: Cross multiply
   538,178.50x = 832,783 × 832,783
4. Step 4: Simplify right side
   538,178.50x = 693,527,525,089
5. Step 5: Solve for x
   x = 693,527,525,089/538,178.50
6. Step 6: Final answer
   x = 1,288,657.06