Finding the Third Proportional to 114,084 and 151,402.50

Step by Step Solution

1. Step 1: Write the proportion equation
   114,084 : 151,402.50 = 151,402.50 : x
2. Step 2: Convert to fraction form
   114,084/151,402.50 = 151,402.50/x
3. Step 3: Cross multiply
   114,084x = 151,402.50 × 151,402.50
4. Step 4: Simplify right side
   114,084x = 22,922,717,006.25
5. Step 5: Solve for x
   x = 22,922,717,006.25/114,084
6. Step 6: Final answer
   x = 200,928.41