Finding the Third Proportional to 137,088 and 200,484

Step by Step Solution

1. Step 1: Write the proportion equation
   137,088 : 200,484 = 200,484 : x
2. Step 2: Convert to fraction form
   137,088/200,484 = 200,484/x
3. Step 3: Cross multiply
   137,088x = 200,484 × 200,484
4. Step 4: Simplify right side
   137,088x = 40,193,834,256
5. Step 5: Solve for x
   x = 40,193,834,256/137,088
6. Step 6: Final answer
   x = 293,197.32