Finding the Third Proportional to 47,472 and 102,090

Step by Step Solution

1. Step 1: Write the proportion equation
   47,472 : 102,090 = 102,090 : x
2. Step 2: Convert to fraction form
   47,472/102,090 = 102,090/x
3. Step 3: Cross multiply
   47,472x = 102,090 × 102,090
4. Step 4: Simplify right side
   47,472x = 10,422,368,100
5. Step 5: Solve for x
   x = 10,422,368,100/47,472
6. Step 6: Final answer
   x = 219,547.69