Finding the Third Proportional to 379,156 and 825,265.50

Step by Step Solution

1. Step 1: Write the proportion equation
   379,156 : 825,265.50 = 825,265.50 : x
2. Step 2: Convert to fraction form
   379,156/825,265.50 = 825,265.50/x
3. Step 3: Cross multiply
   379,156x = 825,265.50 × 825,265.50
4. Step 4: Simplify right side
   379,156x = 681,063,145,490.25
5. Step 5: Solve for x
   x = 681,063,145,490.25/379,156
6. Step 6: Final answer
   x = 1,796,261.03