Finding the Third Proportional to 42,784 and 90,751

Step by Step Solution

1. Step 1: Write the proportion equation
   42,784 : 90,751 = 90,751 : x
2. Step 2: Convert to fraction form
   42,784/90,751 = 90,751/x
3. Step 3: Cross multiply
   42,784x = 90,751 × 90,751
4. Step 4: Simplify right side
   42,784x = 8,235,744,001
5. Step 5: Solve for x
   x = 8,235,744,001/42,784
6. Step 6: Final answer
   x = 192,495.89