Finding the Third Proportional to 78,327 and 194,784.75

Step by Step Solution

1. Step 1: Write the proportion equation
   78,327 : 194,784.75 = 194,784.75 : x
2. Step 2: Convert to fraction form
   78,327/194,784.75 = 194,784.75/x
3. Step 3: Cross multiply
   78,327x = 194,784.75 × 194,784.75
4. Step 4: Simplify right side
   78,327x = 37,941,098,832.56
5. Step 5: Solve for x
   x = 37,941,098,832.56/78,327
6. Step 6: Final answer
   x = 484,393.62