Finding the Third Proportional to 152,940 and 233,298

Step by Step Solution

1. Step 1: Write the proportion equation
   152,940 : 233,298 = 233,298 : x
2. Step 2: Convert to fraction form
   152,940/233,298 = 233,298/x
3. Step 3: Cross multiply
   152,940x = 233,298 × 233,298
4. Step 4: Simplify right side
   152,940x = 54,427,956,804
5. Step 5: Solve for x
   x = 54,427,956,804/152,940
6. Step 6: Final answer
   x = 355,877.84