Finding the Third Proportional to 42,194 and 90,634

Step by Step Solution

1. Step 1: Write the proportion equation
   42,194 : 90,634 = 90,634 : x
2. Step 2: Convert to fraction form
   42,194/90,634 = 90,634/x
3. Step 3: Cross multiply
   42,194x = 90,634 × 90,634
4. Step 4: Simplify right side
   42,194x = 8,214,521,956
5. Step 5: Solve for x
   x = 8,214,521,956/42,194
6. Step 6: Final answer
   x = 194,684.60