Finding the Third Proportional to 146,002 and 161,362

Step by Step Solution

1. Step 1: Write the proportion equation
   146,002 : 161,362 = 161,362 : x
2. Step 2: Convert to fraction form
   146,002/161,362 = 161,362/x
3. Step 3: Cross multiply
   146,002x = 161,362 × 161,362
4. Step 4: Simplify right side
   146,002x = 26,037,695,044
5. Step 5: Solve for x
   x = 26,037,695,044/146,002
6. Step 6: Final answer
   x = 178,337.93