Finding the Third Proportional to 91,090.50 and 137,906.25

Step by Step Solution

1. Step 1: Write the proportion equation
   91,090.50 : 137,906.25 = 137,906.25 : x
2. Step 2: Convert to fraction form
   91,090.50/137,906.25 = 137,906.25/x
3. Step 3: Cross multiply
   91,090.50x = 137,906.25 × 137,906.25
4. Step 4: Simplify right side
   91,090.50x = 19,018,133,789.06
5. Step 5: Solve for x
   x = 19,018,133,789.06/91,090.50
6. Step 6: Final answer
   x = 208,782.85