Finding the Third Proportional to 47,851 and 98,090

Step by Step Solution

1. Step 1: Write the proportion equation
   47,851 : 98,090 = 98,090 : x
2. Step 2: Convert to fraction form
   47,851/98,090 = 98,090/x
3. Step 3: Cross multiply
   47,851x = 98,090 × 98,090
4. Step 4: Simplify right side
   47,851x = 9,621,648,100
5. Step 5: Solve for x
   x = 9,621,648,100/47,851
6. Step 6: Final answer
   x = 201,075.17