Finding the Third Proportional to 92,106 and 138,500

Step by Step Solution

1. Step 1: Write the proportion equation
   92,106 : 138,500 = 138,500 : x
2. Step 2: Convert to fraction form
   92,106/138,500 = 138,500/x
3. Step 3: Cross multiply
   92,106x = 138,500 × 138,500
4. Step 4: Simplify right side
   92,106x = 19,182,250,000
5. Step 5: Solve for x
   x = 19,182,250,000/92,106
6. Step 6: Final answer
   x = 208,262.76