Finding the Third Proportional to 157,524 and 345,667.50

Step by Step Solution

1. Step 1: Write the proportion equation
   157,524 : 345,667.50 = 345,667.50 : x
2. Step 2: Convert to fraction form
   157,524/345,667.50 = 345,667.50/x
3. Step 3: Cross multiply
   157,524x = 345,667.50 × 345,667.50
4. Step 4: Simplify right side
   157,524x = 119,486,020,556.25
5. Step 5: Solve for x
   x = 119,486,020,556.25/157,524
6. Step 6: Final answer
   x = 758,525.82