Finding the Third Proportional to 114,102 and 151,429

Step by Step Solution

1. Step 1: Write the proportion equation
   114,102 : 151,429 = 151,429 : x
2. Step 2: Convert to fraction form
   114,102/151,429 = 151,429/x
3. Step 3: Cross multiply
   114,102x = 151,429 × 151,429
4. Step 4: Simplify right side
   114,102x = 22,930,742,041
5. Step 5: Solve for x
   x = 22,930,742,041/114,102
6. Step 6: Final answer
   x = 200,967.05