Finding the Third Proportional to 415,581 and 632,119.50

Step by Step Solution

1. Step 1: Write the proportion equation
   415,581 : 632,119.50 = 632,119.50 : x
2. Step 2: Convert to fraction form
   415,581/632,119.50 = 632,119.50/x
3. Step 3: Cross multiply
   415,581x = 632,119.50 × 632,119.50
4. Step 4: Simplify right side
   415,581x = 399,575,062,280.25
5. Step 5: Solve for x
   x = 399,575,062,280.25/415,581
6. Step 6: Final answer
   x = 961,485.40