Finding the Third Proportional to 42,030 and 90,438

Step by Step Solution

1. Step 1: Write the proportion equation
   42,030 : 90,438 = 90,438 : x
2. Step 2: Convert to fraction form
   42,030/90,438 = 90,438/x
3. Step 3: Cross multiply
   42,030x = 90,438 × 90,438
4. Step 4: Simplify right side
   42,030x = 8,179,031,844
5. Step 5: Solve for x
   x = 8,179,031,844/42,030
6. Step 6: Final answer
   x = 194,599.85