Finding the Third Proportional to 42,026 and 90,828

Step by Step Solution

1. Step 1: Write the proportion equation
   42,026 : 90,828 = 90,828 : x
2. Step 2: Convert to fraction form
   42,026/90,828 = 90,828/x
3. Step 3: Cross multiply
   42,026x = 90,828 × 90,828
4. Step 4: Simplify right side
   42,026x = 8,249,725,584
5. Step 5: Solve for x
   x = 8,249,725,584/42,026
6. Step 6: Final answer
   x = 196,300.52