Finding the Third Proportional to 415,765 and 627,409.50

Step by Step Solution

1. Step 1: Write the proportion equation
   415,765 : 627,409.50 = 627,409.50 : x
2. Step 2: Convert to fraction form
   415,765/627,409.50 = 627,409.50/x
3. Step 3: Cross multiply
   415,765x = 627,409.50 × 627,409.50
4. Step 4: Simplify right side
   415,765x = 393,642,680,690.25
5. Step 5: Solve for x
   x = 393,642,680,690.25/415,765
6. Step 6: Final answer
   x = 946,791.29