Finding the Third Proportional to 55,489 and 85,096.50

Step by Step Solution

1. Step 1: Write the proportion equation
   55,489 : 85,096.50 = 85,096.50 : x
2. Step 2: Convert to fraction form
   55,489/85,096.50 = 85,096.50/x
3. Step 3: Cross multiply
   55,489x = 85,096.50 × 85,096.50
4. Step 4: Simplify right side
   55,489x = 7,241,414,312.25
5. Step 5: Solve for x
   x = 7,241,414,312.25/55,489
6. Step 6: Final answer
   x = 130,501.80