Finding the Third Proportional to 152,946 and 233,307

Step by Step Solution

1. Step 1: Write the proportion equation
   152,946 : 233,307 = 233,307 : x
2. Step 2: Convert to fraction form
   152,946/233,307 = 233,307/x
3. Step 3: Cross multiply
   152,946x = 233,307 × 233,307
4. Step 4: Simplify right side
   152,946x = 54,432,156,249
5. Step 5: Solve for x
   x = 54,432,156,249/152,946
6. Step 6: Final answer
   x = 355,891.34