Finding the Third Proportional to 81,776 and 168,654

Step by Step Solution

1. Step 1: Write the proportion equation
   81,776 : 168,654 = 168,654 : x
2. Step 2: Convert to fraction form
   81,776/168,654 = 168,654/x
3. Step 3: Cross multiply
   81,776x = 168,654 × 168,654
4. Step 4: Simplify right side
   81,776x = 28,444,171,716
5. Step 5: Solve for x
   x = 28,444,171,716/81,776
6. Step 6: Final answer
   x = 347,830.31