Finding the Third Proportional to 86,410 and 123,566

Step by Step Solution

1. Step 1: Write the proportion equation
   86,410 : 123,566 = 123,566 : x
2. Step 2: Convert to fraction form
   86,410/123,566 = 123,566/x
3. Step 3: Cross multiply
   86,410x = 123,566 × 123,566
4. Step 4: Simplify right side
   86,410x = 15,268,556,356
5. Step 5: Solve for x
   x = 15,268,556,356/86,410
6. Step 6: Final answer
   x = 176,698.95