Finding the Third Proportional to 85,580 and 133,034

Step by Step Solution

1. Step 1: Write the proportion equation
   85,580 : 133,034 = 133,034 : x
2. Step 2: Convert to fraction form
   85,580/133,034 = 133,034/x
3. Step 3: Cross multiply
   85,580x = 133,034 × 133,034
4. Step 4: Simplify right side
   85,580x = 17,698,045,156
5. Step 5: Solve for x
   x = 17,698,045,156/85,580
6. Step 6: Final answer
   x = 206,801.18