Finding the Third Proportional to 91,736.50 and 137,178.25

Step by Step Solution

1. Step 1: Write the proportion equation
   91,736.50 : 137,178.25 = 137,178.25 : x
2. Step 2: Convert to fraction form
   91,736.50/137,178.25 = 137,178.25/x
3. Step 3: Cross multiply
   91,736.50x = 137,178.25 × 137,178.25
4. Step 4: Simplify right side
   91,736.50x = 18,817,872,273.06
5. Step 5: Solve for x
   x = 18,817,872,273.06/91,736.50
6. Step 6: Final answer
   x = 205,129.61