Finding the Third Proportional to 152,006 and 233,314

Step by Step Solution

1. Step 1: Write the proportion equation
   152,006 : 233,314 = 233,314 : x
2. Step 2: Convert to fraction form
   152,006/233,314 = 233,314/x
3. Step 3: Cross multiply
   152,006x = 233,314 × 233,314
4. Step 4: Simplify right side
   152,006x = 54,435,422,596
5. Step 5: Solve for x
   x = 54,435,422,596/152,006
6. Step 6: Final answer
   x = 358,113.64