Finding the Third Proportional to 69,018 and 146,784

Step by Step Solution

1. Step 1: Write the proportion equation
   69,018 : 146,784 = 146,784 : x
2. Step 2: Convert to fraction form
   69,018/146,784 = 146,784/x
3. Step 3: Cross multiply
   69,018x = 146,784 × 146,784
4. Step 4: Simplify right side
   69,018x = 21,545,542,656
5. Step 5: Solve for x
   x = 21,545,542,656/69,018
6. Step 6: Final answer
   x = 312,172.81