Finding the Third Proportional to 513,927 and 783,025.50

Step by Step Solution

1. Step 1: Write the proportion equation
   513,927 : 783,025.50 = 783,025.50 : x
2. Step 2: Convert to fraction form
   513,927/783,025.50 = 783,025.50/x
3. Step 3: Cross multiply
   513,927x = 783,025.50 × 783,025.50
4. Step 4: Simplify right side
   513,927x = 613,128,933,650.25
5. Step 5: Solve for x
   x = 613,128,933,650.25/513,927
6. Step 6: Final answer
   x = 1,193,027.29