Finding the Third Proportional to 158,702 and 215,293.50

Step by Step Solution

1. Step 1: Write the proportion equation
   158,702 : 215,293.50 = 215,293.50 : x
2. Step 2: Convert to fraction form
   158,702/215,293.50 = 215,293.50/x
3. Step 3: Cross multiply
   158,702x = 215,293.50 × 215,293.50
4. Step 4: Simplify right side
   158,702x = 46,351,291,142.25
5. Step 5: Solve for x
   x = 46,351,291,142.25/158,702
6. Step 6: Final answer
   x = 292,064.95