Finding the Third Proportional to 152,806 and 233,601

Step by Step Solution

1. Step 1: Write the proportion equation
   152,806 : 233,601 = 233,601 : x
2. Step 2: Convert to fraction form
   152,806/233,601 = 233,601/x
3. Step 3: Cross multiply
   152,806x = 233,601 × 233,601
4. Step 4: Simplify right side
   152,806x = 54,569,427,201
5. Step 5: Solve for x
   x = 54,569,427,201/152,806
6. Step 6: Final answer
   x = 357,115.74