Finding the Third Proportional to 380,856 and 559,498.50

Step by Step Solution

1. Step 1: Write the proportion equation
   380,856 : 559,498.50 = 559,498.50 : x
2. Step 2: Convert to fraction form
   380,856/559,498.50 = 559,498.50/x
3. Step 3: Cross multiply
   380,856x = 559,498.50 × 559,498.50
4. Step 4: Simplify right side
   380,856x = 313,038,571,502.25
5. Step 5: Solve for x
   x = 313,038,571,502.25/380,856
6. Step 6: Final answer
   x = 821,934.20