Finding the Third Proportional to 129,495 and 189,598.50

Step by Step Solution

1. Step 1: Write the proportion equation
   129,495 : 189,598.50 = 189,598.50 : x
2. Step 2: Convert to fraction form
   129,495/189,598.50 = 189,598.50/x
3. Step 3: Cross multiply
   129,495x = 189,598.50 × 189,598.50
4. Step 4: Simplify right side
   129,495x = 35,947,591,202.25
5. Step 5: Solve for x
   x = 35,947,591,202.25/129,495
6. Step 6: Final answer
   x = 277,598.29