Finding the Third Proportional to 47,191.50 and 102,969

Step by Step Solution

1. Step 1: Write the proportion equation
   47,191.50 : 102,969 = 102,969 : x
2. Step 2: Convert to fraction form
   47,191.50/102,969 = 102,969/x
3. Step 3: Cross multiply
   47,191.50x = 102,969 × 102,969
4. Step 4: Simplify right side
   47,191.50x = 10,602,614,961
5. Step 5: Solve for x
   x = 10,602,614,961/47,191.50
6. Step 6: Final answer
   x = 224,672.13