Finding the Third Proportional to 684,142 and 1,073,210.50

Step by Step Solution

1. Step 1: Write the proportion equation
   684,142 : 1,073,210.50 = 1,073,210.50 : x
2. Step 2: Convert to fraction form
   684,142/1,073,210.50 = 1,073,210.50/x
3. Step 3: Cross multiply
   684,142x = 1,073,210.50 × 1,073,210.50
4. Step 4: Simplify right side
   684,142x = 1,151,780,777,310.25
5. Step 5: Solve for x
   x = 1,151,780,777,310.25/684,142
6. Step 6: Final answer
   x = 1,683,540.52