Finding the Third Proportional to 89,492.63 and 194,756.63

Step by Step Solution

1. Step 1: Write the proportion equation
   89,492.63 : 194,756.63 = 194,756.63 : x
2. Step 2: Convert to fraction form
   89,492.63/194,756.63 = 194,756.63/x
3. Step 3: Cross multiply
   89,492.63x = 194,756.63 × 194,756.63
4. Step 4: Simplify right side
   89,492.63x = 37,930,142,981.39
5. Step 5: Solve for x
   x = 37,930,142,981.39/89,492.63
6. Step 6: Final answer
   x = 423,835.41