Finding the Third Proportional to 117,748.69 and 189,562.78

Step by Step Solution

1. Step 1: Write the proportion equation
   117,748.69 : 189,562.78 = 189,562.78 : x
2. Step 2: Convert to fraction form
   117,748.69/189,562.78 = 189,562.78/x
3. Step 3: Cross multiply
   117,748.69x = 189,562.78 × 189,562.78
4. Step 4: Simplify right side
   117,748.69x = 35,934,048,035.24
5. Step 5: Solve for x
   x = 35,934,048,035.24/117,748.69
6. Step 6: Final answer
   x = 305,175.78