Finding the Third Proportional to 47,772 and 102,060

Step by Step Solution

1. Step 1: Write the proportion equation
   47,772 : 102,060 = 102,060 : x
2. Step 2: Convert to fraction form
   47,772/102,060 = 102,060/x
3. Step 3: Cross multiply
   47,772x = 102,060 × 102,060
4. Step 4: Simplify right side
   47,772x = 10,416,243,600
5. Step 5: Solve for x
   x = 10,416,243,600/47,772
6. Step 6: Final answer
   x = 218,040.77