Finding the Third Proportional to 90,539 and 133,034

Step by Step Solution

1. Step 1: Write the proportion equation
   90,539 : 133,034 = 133,034 : x
2. Step 2: Convert to fraction form
   90,539/133,034 = 133,034/x
3. Step 3: Cross multiply
   90,539x = 133,034 × 133,034
4. Step 4: Simplify right side
   90,539x = 17,698,045,156
5. Step 5: Solve for x
   x = 17,698,045,156/90,539
6. Step 6: Final answer
   x = 195,474.27