Finding the Third Proportional to 308,160 and 432,684

Step by Step Solution

1. Step 1: Write the proportion equation
   308,160 : 432,684 = 432,684 : x
2. Step 2: Convert to fraction form
   308,160/432,684 = 432,684/x
3. Step 3: Cross multiply
   308,160x = 432,684 × 432,684
4. Step 4: Simplify right side
   308,160x = 187,215,443,856
5. Step 5: Solve for x
   x = 187,215,443,856/308,160
6. Step 6: Final answer
   x = 607,526.75