Finding the Third Proportional to 42,507 and 90,846

Step by Step Solution

1. Step 1: Write the proportion equation
   42,507 : 90,846 = 90,846 : x
2. Step 2: Convert to fraction form
   42,507/90,846 = 90,846/x
3. Step 3: Cross multiply
   42,507x = 90,846 × 90,846
4. Step 4: Simplify right side
   42,507x = 8,252,995,716
5. Step 5: Solve for x
   x = 8,252,995,716/42,507
6. Step 6: Final answer
   x = 194,156.16