Finding the Third Proportional to 158,118 and 205,191.75

Step by Step Solution

1. Step 1: Write the proportion equation
   158,118 : 205,191.75 = 205,191.75 : x
2. Step 2: Convert to fraction form
   158,118/205,191.75 = 205,191.75/x
3. Step 3: Cross multiply
   158,118x = 205,191.75 × 205,191.75
4. Step 4: Simplify right side
   158,118x = 42,103,654,268.06
5. Step 5: Solve for x
   x = 42,103,654,268.06/158,118
6. Step 6: Final answer
   x = 266,279.96