Finding the Third Proportional to 157,542 and 345,699.50

Step by Step Solution

1. Step 1: Write the proportion equation
   157,542 : 345,699.50 = 345,699.50 : x
2. Step 2: Convert to fraction form
   157,542/345,699.50 = 345,699.50/x
3. Step 3: Cross multiply
   157,542x = 345,699.50 × 345,699.50
4. Step 4: Simplify right side
   157,542x = 119,508,144,300.25
5. Step 5: Solve for x
   x = 119,508,144,300.25/157,542
6. Step 6: Final answer
   x = 758,579.58