Finding the Third Proportional to 42,201 and 90,902.25

Step by Step Solution

1. Step 1: Write the proportion equation
   42,201 : 90,902.25 = 90,902.25 : x
2. Step 2: Convert to fraction form
   42,201/90,902.25 = 90,902.25/x
3. Step 3: Cross multiply
   42,201x = 90,902.25 × 90,902.25
4. Step 4: Simplify right side
   42,201x = 8,263,219,055.06
5. Step 5: Solve for x
   x = 8,263,219,055.06/42,201
6. Step 6: Final answer
   x = 195,806.24