Finding the Third Proportional to 127,842 and 191,034

Step by Step Solution

1. Step 1: Write the proportion equation
   127,842 : 191,034 = 191,034 : x
2. Step 2: Convert to fraction form
   127,842/191,034 = 191,034/x
3. Step 3: Cross multiply
   127,842x = 191,034 × 191,034
4. Step 4: Simplify right side
   127,842x = 36,493,989,156
5. Step 5: Solve for x
   x = 36,493,989,156/127,842
6. Step 6: Final answer
   x = 285,461.66