Finding the Third Proportional to 137,924 and 200,892

Step by Step Solution

1. Step 1: Write the proportion equation
   137,924 : 200,892 = 200,892 : x
2. Step 2: Convert to fraction form
   137,924/200,892 = 200,892/x
3. Step 3: Cross multiply
   137,924x = 200,892 × 200,892
4. Step 4: Simplify right side
   137,924x = 40,357,595,664
5. Step 5: Solve for x
   x = 40,357,595,664/137,924
6. Step 6: Final answer
   x = 292,607.49