Finding the Third Proportional to 88,262 and 194,339

Step by Step Solution

1. Step 1: Write the proportion equation
   88,262 : 194,339 = 194,339 : x
2. Step 2: Convert to fraction form
   88,262/194,339 = 194,339/x
3. Step 3: Cross multiply
   88,262x = 194,339 × 194,339
4. Step 4: Simplify right side
   88,262x = 37,767,646,921
5. Step 5: Solve for x
   x = 37,767,646,921/88,262
6. Step 6: Final answer
   x = 427,903.82