Finding the Third Proportional to 91,159.50 and 137,956.50

Step by Step Solution

1. Step 1: Write the proportion equation
   91,159.50 : 137,956.50 = 137,956.50 : x
2. Step 2: Convert to fraction form
   91,159.50/137,956.50 = 137,956.50/x
3. Step 3: Cross multiply
   91,159.50x = 137,956.50 × 137,956.50
4. Step 4: Simplify right side
   91,159.50x = 19,031,995,892.25
5. Step 5: Solve for x
   x = 19,031,995,892.25/91,159.50
6. Step 6: Final answer
   x = 208,776.88