Finding the Third Proportional to 378,784.50 and 817,656

Step by Step Solution

1. Step 1: Write the proportion equation
   378,784.50 : 817,656 = 817,656 : x
2. Step 2: Convert to fraction form
   378,784.50/817,656 = 817,656/x
3. Step 3: Cross multiply
   378,784.50x = 817,656 × 817,656
4. Step 4: Simplify right side
   378,784.50x = 668,561,334,336
5. Step 5: Solve for x
   x = 668,561,334,336/378,784.50
6. Step 6: Final answer
   x = 1,765,017.67