Finding the Third Proportional to 98,526 and 204,058.50

Step by Step Solution

1. Step 1: Write the proportion equation
   98,526 : 204,058.50 = 204,058.50 : x
2. Step 2: Convert to fraction form
   98,526/204,058.50 = 204,058.50/x
3. Step 3: Cross multiply
   98,526x = 204,058.50 × 204,058.50
4. Step 4: Simplify right side
   98,526x = 41,639,871,422.25
5. Step 5: Solve for x
   x = 41,639,871,422.25/98,526
6. Step 6: Final answer
   x = 422,628.25