Finding the Third Proportional to 91,714.50 and 138,496.50

Step by Step Solution

1. Step 1: Write the proportion equation
   91,714.50 : 138,496.50 = 138,496.50 : x
2. Step 2: Convert to fraction form
   91,714.50/138,496.50 = 138,496.50/x
3. Step 3: Cross multiply
   91,714.50x = 138,496.50 × 138,496.50
4. Step 4: Simplify right side
   91,714.50x = 19,181,280,512.25
5. Step 5: Solve for x
   x = 19,181,280,512.25/91,714.50
6. Step 6: Final answer
   x = 209,141.20