Finding the Third Proportional to 435,301 and 616,501

Step by Step Solution

1. Step 1: Write the proportion equation
   435,301 : 616,501 = 616,501 : x
2. Step 2: Convert to fraction form
   435,301/616,501 = 616,501/x
3. Step 3: Cross multiply
   435,301x = 616,501 × 616,501
4. Step 4: Simplify right side
   435,301x = 380,073,483,001
5. Step 5: Solve for x
   x = 380,073,483,001/435,301
6. Step 6: Final answer
   x = 873,127.98