Finding the Third Proportional to 152,640 and 233,492

Step by Step Solution

1. Step 1: Write the proportion equation
   152,640 : 233,492 = 233,492 : x
2. Step 2: Convert to fraction form
   152,640/233,492 = 233,492/x
3. Step 3: Cross multiply
   152,640x = 233,492 × 233,492
4. Step 4: Simplify right side
   152,640x = 54,518,514,064
5. Step 5: Solve for x
   x = 54,518,514,064/152,640
6. Step 6: Final answer
   x = 357,170.56