Finding the Third Proportional to 92,346 and 137,910

Step by Step Solution

1. Step 1: Write the proportion equation
   92,346 : 137,910 = 137,910 : x
2. Step 2: Convert to fraction form
   92,346/137,910 = 137,910/x
3. Step 3: Cross multiply
   92,346x = 137,910 × 137,910
4. Step 4: Simplify right side
   92,346x = 19,019,168,100
5. Step 5: Solve for x
   x = 19,019,168,100/92,346
6. Step 6: Final answer
   x = 205,955.52