Finding the Third Proportional to 89,265 and 194,554.50

Step by Step Solution

1. Step 1: Write the proportion equation
   89,265 : 194,554.50 = 194,554.50 : x
2. Step 2: Convert to fraction form
   89,265/194,554.50 = 194,554.50/x
3. Step 3: Cross multiply
   89,265x = 194,554.50 × 194,554.50
4. Step 4: Simplify right side
   89,265x = 37,851,453,470.25
5. Step 5: Solve for x
   x = 37,851,453,470.25/89,265
6. Step 6: Final answer
   x = 424,034.65