Finding the Third Proportional to 135,702 and 289,438.50

Step by Step Solution

1. Step 1: Write the proportion equation
   135,702 : 289,438.50 = 289,438.50 : x
2. Step 2: Convert to fraction form
   135,702/289,438.50 = 289,438.50/x
3. Step 3: Cross multiply
   135,702x = 289,438.50 × 289,438.50
4. Step 4: Simplify right side
   135,702x = 83,774,645,282.25
5. Step 5: Solve for x
   x = 83,774,645,282.25/135,702
6. Step 6: Final answer
   x = 617,342.75