Finding the Third Proportional to 78,327 and 121,621.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,327 : 121,621.50 = 121,621.50 : x
2. Step 2: Convert to fraction form
   78,327/121,621.50 = 121,621.50/x
3. Step 3: Cross multiply
   78,327x = 121,621.50 × 121,621.50
4. Step 4: Simplify right side
   78,327x = 14,791,789,262.25
5. Step 5: Solve for x
   x = 14,791,789,262.25/78,327
6. Step 6: Final answer
   x = 188,846.62