Finding the Third Proportional to 69,312 and 146,892

Step by Step Solution

1. Step 1: Write the proportion equation
   69,312 : 146,892 = 146,892 : x
2. Step 2: Convert to fraction form
   69,312/146,892 = 146,892/x
3. Step 3: Cross multiply
   69,312x = 146,892 × 146,892
4. Step 4: Simplify right side
   69,312x = 21,577,259,664
5. Step 5: Solve for x
   x = 21,577,259,664/69,312
6. Step 6: Final answer
   x = 311,306.26