Finding the Third Proportional to 88,641 and 194,504.63

Step by Step Solution

1. Step 1: Write the proportion equation
   88,641 : 194,504.63 = 194,504.63 : x
2. Step 2: Convert to fraction form
   88,641/194,504.63 = 194,504.63/x
3. Step 3: Cross multiply
   88,641x = 194,504.63 × 194,504.63
4. Step 4: Simplify right side
   88,641x = 37,832,049,146.39
5. Step 5: Solve for x
   x = 37,832,049,146.39/88,641
6. Step 6: Final answer
   x = 426,800.79