Finding the Third Proportional to 88,911 and 194,419.75

Step by Step Solution

1. Step 1: Write the proportion equation
   88,911 : 194,419.75 = 194,419.75 : x
2. Step 2: Convert to fraction form
   88,911/194,419.75 = 194,419.75/x
3. Step 3: Cross multiply
   88,911x = 194,419.75 × 194,419.75
4. Step 4: Simplify right side
   88,911x = 37,799,039,190.06
5. Step 5: Solve for x
   x = 37,799,039,190.06/88,911
6. Step 6: Final answer
   x = 425,133.44