Finding the Third Proportional to 42,677 and 91,892

Step by Step Solution

1. Step 1: Write the proportion equation
   42,677 : 91,892 = 91,892 : x
2. Step 2: Convert to fraction form
   42,677/91,892 = 91,892/x
3. Step 3: Cross multiply
   42,677x = 91,892 × 91,892
4. Step 4: Simplify right side
   42,677x = 8,444,139,664
5. Step 5: Solve for x
   x = 8,444,139,664/42,677
6. Step 6: Final answer
   x = 197,861.60