Finding the Third Proportional to 69,518 and 151,784

Step by Step Solution

1. Step 1: Write the proportion equation
   69,518 : 151,784 = 151,784 : x
2. Step 2: Convert to fraction form
   69,518/151,784 = 151,784/x
3. Step 3: Cross multiply
   69,518x = 151,784 × 151,784
4. Step 4: Simplify right side
   69,518x = 23,038,382,656
5. Step 5: Solve for x
   x = 23,038,382,656/69,518
6. Step 6: Final answer
   x = 331,401.69