Finding the Third Proportional to 77,654 and 166,388

Step by Step Solution

1. Step 1: Write the proportion equation
   77,654 : 166,388 = 166,388 : x
2. Step 2: Convert to fraction form
   77,654/166,388 = 166,388/x
3. Step 3: Cross multiply
   77,654x = 166,388 × 166,388
4. Step 4: Simplify right side
   77,654x = 27,684,966,544
5. Step 5: Solve for x
   x = 27,684,966,544/77,654
6. Step 6: Final answer
   x = 356,516.94