Finding the Third Proportional to 47,164.50 and 102,645

Step by Step Solution

1. Step 1: Write the proportion equation
   47,164.50 : 102,645 = 102,645 : x
2. Step 2: Convert to fraction form
   47,164.50/102,645 = 102,645/x
3. Step 3: Cross multiply
   47,164.50x = 102,645 × 102,645
4. Step 4: Simplify right side
   47,164.50x = 10,535,996,025
5. Step 5: Solve for x
   x = 10,535,996,025/47,164.50
6. Step 6: Final answer
   x = 223,388.27