Finding the Third Proportional to 82,054 and 193,187.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,054 : 193,187.50 = 193,187.50 : x
2. Step 2: Convert to fraction form
   82,054/193,187.50 = 193,187.50/x
3. Step 3: Cross multiply
   82,054x = 193,187.50 × 193,187.50
4. Step 4: Simplify right side
   82,054x = 37,321,410,156.25
5. Step 5: Solve for x
   x = 37,321,410,156.25/82,054
6. Step 6: Final answer
   x = 454,839.62