Finding the Third Proportional to 139,509 and 202,459.50

Step by Step Solution

1. Step 1: Write the proportion equation
   139,509 : 202,459.50 = 202,459.50 : x
2. Step 2: Convert to fraction form
   139,509/202,459.50 = 202,459.50/x
3. Step 3: Cross multiply
   139,509x = 202,459.50 × 202,459.50
4. Step 4: Simplify right side
   139,509x = 40,989,849,140.25
5. Step 5: Solve for x
   x = 40,989,849,140.25/139,509
6. Step 6: Final answer
   x = 293,815.09