Finding the Third Proportional to 88,894.50 and 194,392.50

Step by Step Solution

1. Step 1: Write the proportion equation
   88,894.50 : 194,392.50 = 194,392.50 : x
2. Step 2: Convert to fraction form
   88,894.50/194,392.50 = 194,392.50/x
3. Step 3: Cross multiply
   88,894.50x = 194,392.50 × 194,392.50
4. Step 4: Simplify right side
   88,894.50x = 37,788,444,056.25
5. Step 5: Solve for x
   x = 37,788,444,056.25/88,894.50
6. Step 6: Final answer
   x = 425,093.16