Finding the Third Proportional to 148,542 and 320,756.50

Step by Step Solution

1. Step 1: Write the proportion equation
   148,542 : 320,756.50 = 320,756.50 : x
2. Step 2: Convert to fraction form
   148,542/320,756.50 = 320,756.50/x
3. Step 3: Cross multiply
   148,542x = 320,756.50 × 320,756.50
4. Step 4: Simplify right side
   148,542x = 102,884,732,292.25
5. Step 5: Solve for x
   x = 102,884,732,292.25/148,542
6. Step 6: Final answer
   x = 692,630.58