Finding the Third Proportional to 91,003 and 137,776.50

Step by Step Solution

1. Step 1: Write the proportion equation
   91,003 : 137,776.50 = 137,776.50 : x
2. Step 2: Convert to fraction form
   91,003/137,776.50 = 137,776.50/x
3. Step 3: Cross multiply
   91,003x = 137,776.50 × 137,776.50
4. Step 4: Simplify right side
   91,003x = 18,982,363,952.25
5. Step 5: Solve for x
   x = 18,982,363,952.25/91,003
6. Step 6: Final answer
   x = 208,590.53