Finding the Third Proportional to 157,564 and 345,739.50

Step by Step Solution

1. Step 1: Write the proportion equation
   157,564 : 345,739.50 = 345,739.50 : x
2. Step 2: Convert to fraction form
   157,564/345,739.50 = 345,739.50/x
3. Step 3: Cross multiply
   157,564x = 345,739.50 × 345,739.50
4. Step 4: Simplify right side
   157,564x = 119,535,801,860.25
5. Step 5: Solve for x
   x = 119,535,801,860.25/157,564
6. Step 6: Final answer
   x = 758,649.20