Finding the Third Proportional to 89,985 and 137,704.50

Step by Step Solution

1. Step 1: Write the proportion equation
   89,985 : 137,704.50 = 137,704.50 : x
2. Step 2: Convert to fraction form
   89,985/137,704.50 = 137,704.50/x
3. Step 3: Cross multiply
   89,985x = 137,704.50 × 137,704.50
4. Step 4: Simplify right side
   89,985x = 18,962,529,320.25
5. Step 5: Solve for x
   x = 18,962,529,320.25/89,985
6. Step 6: Final answer
   x = 210,729.89