Finding the Third Proportional to 117,716 and 151,142

Step by Step Solution

1. Step 1: Write the proportion equation
   117,716 : 151,142 = 151,142 : x
2. Step 2: Convert to fraction form
   117,716/151,142 = 151,142/x
3. Step 3: Cross multiply
   117,716x = 151,142 × 151,142
4. Step 4: Simplify right side
   117,716x = 22,843,904,164
5. Step 5: Solve for x
   x = 22,843,904,164/117,716
6. Step 6: Final answer
   x = 194,059.47