Finding the Third Proportional to 42,819 and 90,254.25

Step by Step Solution

1. Step 1: Write the proportion equation
   42,819 : 90,254.25 = 90,254.25 : x
2. Step 2: Convert to fraction form
   42,819/90,254.25 = 90,254.25/x
3. Step 3: Cross multiply
   42,819x = 90,254.25 × 90,254.25
4. Step 4: Simplify right side
   42,819x = 8,145,829,643.06
5. Step 5: Solve for x
   x = 8,145,829,643.06/42,819
6. Step 6: Final answer
   x = 190,238.67