Finding the Third Proportional to 88,653 and 194,262

Step by Step Solution

1. Step 1: Write the proportion equation
   88,653 : 194,262 = 194,262 : x
2. Step 2: Convert to fraction form
   88,653/194,262 = 194,262/x
3. Step 3: Cross multiply
   88,653x = 194,262 × 194,262
4. Step 4: Simplify right side
   88,653x = 37,737,724,644
5. Step 5: Solve for x
   x = 37,737,724,644/88,653
6. Step 6: Final answer
   x = 425,679.05