Finding the Third Proportional to 82,056 and 133,978.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,056 : 133,978.50 = 133,978.50 : x
2. Step 2: Convert to fraction form
   82,056/133,978.50 = 133,978.50/x
3. Step 3: Cross multiply
   82,056x = 133,978.50 × 133,978.50
4. Step 4: Simplify right side
   82,056x = 17,950,238,462.25
5. Step 5: Solve for x
   x = 17,950,238,462.25/82,056
6. Step 6: Final answer
   x = 218,755.95