Finding the Third Proportional to 237,645 and 345,766.50

Step by Step Solution

1. Step 1: Write the proportion equation
   237,645 : 345,766.50 = 345,766.50 : x
2. Step 2: Convert to fraction form
   237,645/345,766.50 = 345,766.50/x
3. Step 3: Cross multiply
   237,645x = 345,766.50 × 345,766.50
4. Step 4: Simplify right side
   237,645x = 119,554,472,522.25
5. Step 5: Solve for x
   x = 119,554,472,522.25/237,645
6. Step 6: Final answer
   x = 503,080.11