Finding the Third Proportional to 413,910 and 634,534.50

Step by Step Solution

1. Step 1: Write the proportion equation
   413,910 : 634,534.50 = 634,534.50 : x
2. Step 2: Convert to fraction form
   413,910/634,534.50 = 634,534.50/x
3. Step 3: Cross multiply
   413,910x = 634,534.50 × 634,534.50
4. Step 4: Simplify right side
   413,910x = 402,634,031,690.25
5. Step 5: Solve for x
   x = 402,634,031,690.25/413,910
6. Step 6: Final answer
   x = 972,757.44