Finding the Third Proportional to 233,326.50 and 371,002.50

Step by Step Solution

1. Step 1: Write the proportion equation
   233,326.50 : 371,002.50 = 371,002.50 : x
2. Step 2: Convert to fraction form
   233,326.50/371,002.50 = 371,002.50/x
3. Step 3: Cross multiply
   233,326.50x = 371,002.50 × 371,002.50
4. Step 4: Simplify right side
   233,326.50x = 137,642,855,006.25
5. Step 5: Solve for x
   x = 137,642,855,006.25/233,326.50
6. Step 6: Final answer
   x = 589,915.23