Finding the Third Proportional to 127,812 and 194,373.56

Step by Step Solution

1. Step 1: Write the proportion equation
   127,812 : 194,373.56 = 194,373.56 : x
2. Step 2: Convert to fraction form
   127,812/194,373.56 = 194,373.56/x
3. Step 3: Cross multiply
   127,812x = 194,373.56 × 194,373.56
4. Step 4: Simplify right side
   127,812x = 37,781,081,798.94
5. Step 5: Solve for x
   x = 37,781,081,798.94/127,812
6. Step 6: Final answer
   x = 295,598.86