Finding the Third Proportional to 384,547.50 and 827,050.50

Step by Step Solution

1. Step 1: Write the proportion equation
   384,547.50 : 827,050.50 = 827,050.50 : x
2. Step 2: Convert to fraction form
   384,547.50/827,050.50 = 827,050.50/x
3. Step 3: Cross multiply
   384,547.50x = 827,050.50 × 827,050.50
4. Step 4: Simplify right side
   384,547.50x = 684,012,529,550.25
5. Step 5: Solve for x
   x = 684,012,529,550.25/384,547.50
6. Step 6: Final answer
   x = 1,778,746.53