Finding the Third Proportional to 175,994 and 233,372

Step by Step Solution

1. Step 1: Write the proportion equation
   175,994 : 233,372 = 233,372 : x
2. Step 2: Convert to fraction form
   175,994/233,372 = 233,372/x
3. Step 3: Cross multiply
   175,994x = 233,372 × 233,372
4. Step 4: Simplify right side
   175,994x = 54,462,490,384
5. Step 5: Solve for x
   x = 54,462,490,384/175,994
6. Step 6: Final answer
   x = 309,456.52