Finding the Third Proportional to 88,606 and 194,434

Step by Step Solution

1. Step 1: Write the proportion equation
   88,606 : 194,434 = 194,434 : x
2. Step 2: Convert to fraction form
   88,606/194,434 = 194,434/x
3. Step 3: Cross multiply
   88,606x = 194,434 × 194,434
4. Step 4: Simplify right side
   88,606x = 37,804,580,356
5. Step 5: Solve for x
   x = 37,804,580,356/88,606
6. Step 6: Final answer
   x = 426,659.37