Finding the Third Proportional to 512,726 and 795,961.50

Step by Step Solution

1. Step 1: Write the proportion equation
   512,726 : 795,961.50 = 795,961.50 : x
2. Step 2: Convert to fraction form
   512,726/795,961.50 = 795,961.50/x
3. Step 3: Cross multiply
   512,726x = 795,961.50 × 795,961.50
4. Step 4: Simplify right side
   512,726x = 633,554,709,482.25
5. Step 5: Solve for x
   x = 633,554,709,482.25/512,726
6. Step 6: Final answer
   x = 1,235,659.42