Finding the Third Proportional to 465,264 and 612,501.75

Step by Step Solution

1. Step 1: Write the proportion equation
   465,264 : 612,501.75 = 612,501.75 : x
2. Step 2: Convert to fraction form
   465,264/612,501.75 = 612,501.75/x
3. Step 3: Cross multiply
   465,264x = 612,501.75 × 612,501.75
4. Step 4: Simplify right side
   465,264x = 375,158,393,753.06
5. Step 5: Solve for x
   x = 375,158,393,753.06/465,264
6. Step 6: Final answer
   x = 806,334.45