Finding the Third Proportional to 512,046 and 737,583.75

Step by Step Solution

1. Step 1: Write the proportion equation
   512,046 : 737,583.75 = 737,583.75 : x
2. Step 2: Convert to fraction form
   512,046/737,583.75 = 737,583.75/x
3. Step 3: Cross multiply
   512,046x = 737,583.75 × 737,583.75
4. Step 4: Simplify right side
   512,046x = 544,029,788,264.06
5. Step 5: Solve for x
   x = 544,029,788,264.06/512,046
6. Step 6: Final answer
   x = 1,062,462.72