Finding the Third Proportional to 152,812 and 233,611

Step by Step Solution

1. Step 1: Write the proportion equation
   152,812 : 233,611 = 233,611 : x
2. Step 2: Convert to fraction form
   152,812/233,611 = 233,611/x
3. Step 3: Cross multiply
   152,812x = 233,611 × 233,611
4. Step 4: Simplify right side
   152,812x = 54,574,099,321
5. Step 5: Solve for x
   x = 54,574,099,321/152,812
6. Step 6: Final answer
   x = 357,132.29