Finding the Third Proportional to 135,702 and 194,784.75

Step by Step Solution

1. Step 1: Write the proportion equation
   135,702 : 194,784.75 = 194,784.75 : x
2. Step 2: Convert to fraction form
   135,702/194,784.75 = 194,784.75/x
3. Step 3: Cross multiply
   135,702x = 194,784.75 × 194,784.75
4. Step 4: Simplify right side
   135,702x = 37,941,098,832.56
5. Step 5: Solve for x
   x = 37,941,098,832.56/135,702
6. Step 6: Final answer
   x = 279,591.30