Finding the Third Proportional to 78,914.25 and 191,043.56

Step by Step Solution

1. Step 1: Write the proportion equation
   78,914.25 : 191,043.56 = 191,043.56 : x
2. Step 2: Convert to fraction form
   78,914.25/191,043.56 = 191,043.56/x
3. Step 3: Cross multiply
   78,914.25x = 191,043.56 × 191,043.56
4. Step 4: Simplify right side
   78,914.25x = 36,497,642,772.69
5. Step 5: Solve for x
   x = 36,497,642,772.69/78,914.25
6. Step 6: Final answer
   x = 462,497.49