Finding the Third Proportional to 42,127 and 90,601

Step by Step Solution

1. Step 1: Write the proportion equation
   42,127 : 90,601 = 90,601 : x
2. Step 2: Convert to fraction form
   42,127/90,601 = 90,601/x
3. Step 3: Cross multiply
   42,127x = 90,601 × 90,601
4. Step 4: Simplify right side
   42,127x = 8,208,541,201
5. Step 5: Solve for x
   x = 8,208,541,201/42,127
6. Step 6: Final answer
   x = 194,852.26