Finding the Third Proportional to 377,046 and 820,426.50

Step by Step Solution

1. Step 1: Write the proportion equation
   377,046 : 820,426.50 = 820,426.50 : x
2. Step 2: Convert to fraction form
   377,046/820,426.50 = 820,426.50/x
3. Step 3: Cross multiply
   377,046x = 820,426.50 × 820,426.50
4. Step 4: Simplify right side
   377,046x = 673,099,641,902.25
5. Step 5: Solve for x
   x = 673,099,641,902.25/377,046
6. Step 6: Final answer
   x = 1,785,192.37