Finding the Third Proportional to 174,870 and 286,260.50

Step by Step Solution

1. Step 1: Write the proportion equation
   174,870 : 286,260.50 = 286,260.50 : x
2. Step 2: Convert to fraction form
   174,870/286,260.50 = 286,260.50/x
3. Step 3: Cross multiply
   174,870x = 286,260.50 × 286,260.50
4. Step 4: Simplify right side
   174,870x = 81,945,073,860.25
5. Step 5: Solve for x
   x = 81,945,073,860.25/174,870
6. Step 6: Final answer
   x = 468,605.67