Finding the Third Proportional to 231,168 and 434,688

Step by Step Solution

1. Step 1: Write the proportion equation
   231,168 : 434,688 = 434,688 : x
2. Step 2: Convert to fraction form
   231,168/434,688 = 434,688/x
3. Step 3: Cross multiply
   231,168x = 434,688 × 434,688
4. Step 4: Simplify right side
   231,168x = 188,953,657,344
5. Step 5: Solve for x
   x = 188,953,657,344/231,168
6. Step 6: Final answer
   x = 817,386.74