Finding the Third Proportional to 519,375 and 776,992.50

Step by Step Solution

1. Step 1: Write the proportion equation
   519,375 : 776,992.50 = 776,992.50 : x
2. Step 2: Convert to fraction form
   519,375/776,992.50 = 776,992.50/x
3. Step 3: Cross multiply
   519,375x = 776,992.50 × 776,992.50
4. Step 4: Simplify right side
   519,375x = 603,717,345,056.25
5. Step 5: Solve for x
   x = 603,717,345,056.25/519,375
6. Step 6: Final answer
   x = 1,162,392.00