Finding the Third Proportional to 139,509 and 302,197.50

Step by Step Solution

1. Step 1: Write the proportion equation
   139,509 : 302,197.50 = 302,197.50 : x
2. Step 2: Convert to fraction form
   139,509/302,197.50 = 302,197.50/x
3. Step 3: Cross multiply
   139,509x = 302,197.50 × 302,197.50
4. Step 4: Simplify right side
   139,509x = 91,323,329,006.25
5. Step 5: Solve for x
   x = 91,323,329,006.25/139,509
6. Step 6: Final answer
   x = 654,605.29