Finding the Third Proportional to 146,856 and 233,414

Step by Step Solution

1. Step 1: Write the proportion equation
   146,856 : 233,414 = 233,414 : x
2. Step 2: Convert to fraction form
   146,856/233,414 = 233,414/x
3. Step 3: Cross multiply
   146,856x = 233,414 × 233,414
4. Step 4: Simplify right side
   146,856x = 54,482,095,396
5. Step 5: Solve for x
   x = 54,482,095,396/146,856
6. Step 6: Final answer
   x = 370,989.92