Finding the Third Proportional to 401,952 and 622,102.50

Step by Step Solution

1. Step 1: Write the proportion equation
   401,952 : 622,102.50 = 622,102.50 : x
2. Step 2: Convert to fraction form
   401,952/622,102.50 = 622,102.50/x
3. Step 3: Cross multiply
   401,952x = 622,102.50 × 622,102.50
4. Step 4: Simplify right side
   401,952x = 387,011,520,506.25
5. Step 5: Solve for x
   x = 387,011,520,506.25/401,952
6. Step 6: Final answer
   x = 962,830.19