Finding the Third Proportional to 89,474 and 194,692.50

Step by Step Solution

1. Step 1: Write the proportion equation
   89,474 : 194,692.50 = 194,692.50 : x
2. Step 2: Convert to fraction form
   89,474/194,692.50 = 194,692.50/x
3. Step 3: Cross multiply
   89,474x = 194,692.50 × 194,692.50
4. Step 4: Simplify right side
   89,474x = 37,905,169,556.25
5. Step 5: Solve for x
   x = 37,905,169,556.25/89,474
6. Step 6: Final answer
   x = 423,644.52