Finding the Third Proportional to 307,620 and 413,910

Step by Step Solution

1. Step 1: Write the proportion equation
   307,620 : 413,910 = 413,910 : x
2. Step 2: Convert to fraction form
   307,620/413,910 = 413,910/x
3. Step 3: Cross multiply
   307,620x = 413,910 × 413,910
4. Step 4: Simplify right side
   307,620x = 171,321,488,100
5. Step 5: Solve for x
   x = 171,321,488,100/307,620
6. Step 6: Final answer
   x = 556,925.71