Finding the Third Proportional to 381,892.50 and 822,807

Step by Step Solution

1. Step 1: Write the proportion equation
   381,892.50 : 822,807 = 822,807 : x
2. Step 2: Convert to fraction form
   381,892.50/822,807 = 822,807/x
3. Step 3: Cross multiply
   381,892.50x = 822,807 × 822,807
4. Step 4: Simplify right side
   381,892.50x = 677,011,359,249
5. Step 5: Solve for x
   x = 677,011,359,249/381,892.50
6. Step 6: Final answer
   x = 1,772,779.93