Finding the Third Proportional to 89,007 and 137,770.50

Step by Step Solution

1. Step 1: Write the proportion equation
   89,007 : 137,770.50 = 137,770.50 : x
2. Step 2: Convert to fraction form
   89,007/137,770.50 = 137,770.50/x
3. Step 3: Cross multiply
   89,007x = 137,770.50 × 137,770.50
4. Step 4: Simplify right side
   89,007x = 18,980,710,670.25
5. Step 5: Solve for x
   x = 18,980,710,670.25/89,007
6. Step 6: Final answer
   x = 213,249.64