Finding the Third Proportional to 196,641 and 300,692.25

Step by Step Solution

1. Step 1: Write the proportion equation
   196,641 : 300,692.25 = 300,692.25 : x
2. Step 2: Convert to fraction form
   196,641/300,692.25 = 300,692.25/x
3. Step 3: Cross multiply
   196,641x = 300,692.25 × 300,692.25
4. Step 4: Simplify right side
   196,641x = 90,415,829,210.06
5. Step 5: Solve for x
   x = 90,415,829,210.06/196,641
6. Step 6: Final answer
   x = 459,801.51