Finding the Third Proportional to 354,438 and 777,769.50

Step by Step Solution

1. Step 1: Write the proportion equation
   354,438 : 777,769.50 = 777,769.50 : x
2. Step 2: Convert to fraction form
   354,438/777,769.50 = 777,769.50/x
3. Step 3: Cross multiply
   354,438x = 777,769.50 × 777,769.50
4. Step 4: Simplify right side
   354,438x = 604,925,395,130.25
5. Step 5: Solve for x
   x = 604,925,395,130.25/354,438
6. Step 6: Final answer
   x = 1,706,717.10