Finding the Third Proportional to 88,494 and 194,484

Step by Step Solution

1. Step 1: Write the proportion equation
   88,494 : 194,484 = 194,484 : x
2. Step 2: Convert to fraction form
   88,494/194,484 = 194,484/x
3. Step 3: Cross multiply
   88,494x = 194,484 × 194,484
4. Step 4: Simplify right side
   88,494x = 37,824,026,256
5. Step 5: Solve for x
   x = 37,824,026,256/88,494
6. Step 6: Final answer
   x = 427,419.10