Finding the Third Proportional to 466,256.25 and 684,085.50

Step by Step Solution

1. Step 1: Write the proportion equation
   466,256.25 : 684,085.50 = 684,085.50 : x
2. Step 2: Convert to fraction form
   466,256.25/684,085.50 = 684,085.50/x
3. Step 3: Cross multiply
   466,256.25x = 684,085.50 × 684,085.50
4. Step 4: Simplify right side
   466,256.25x = 467,972,971,310.25
5. Step 5: Solve for x
   x = 467,972,971,310.25/466,256.25
6. Step 6: Final answer
   x = 1,003,681.93