Finding the Third Proportional to 157,566 and 345,745.50

Step by Step Solution

1. Step 1: Write the proportion equation
   157,566 : 345,745.50 = 345,745.50 : x
2. Step 2: Convert to fraction form
   157,566/345,745.50 = 345,745.50/x
3. Step 3: Cross multiply
   157,566x = 345,745.50 × 345,745.50
4. Step 4: Simplify right side
   157,566x = 119,539,950,770.25
5. Step 5: Solve for x
   x = 119,539,950,770.25/157,566
6. Step 6: Final answer
   x = 758,665.90