Finding the Third Proportional to 91,865 and 137,796.50

Step by Step Solution

1. Step 1: Write the proportion equation
   91,865 : 137,796.50 = 137,796.50 : x
2. Step 2: Convert to fraction form
   91,865/137,796.50 = 137,796.50/x
3. Step 3: Cross multiply
   91,865x = 137,796.50 × 137,796.50
4. Step 4: Simplify right side
   91,865x = 18,987,875,412.25
5. Step 5: Solve for x
   x = 18,987,875,412.25/91,865
6. Step 6: Final answer
   x = 206,693.25