Finding the Third Proportional to 146,316 and 213,898.50

Step by Step Solution

1. Step 1: Write the proportion equation
   146,316 : 213,898.50 = 213,898.50 : x
2. Step 2: Convert to fraction form
   146,316/213,898.50 = 213,898.50/x
3. Step 3: Cross multiply
   146,316x = 213,898.50 × 213,898.50
4. Step 4: Simplify right side
   146,316x = 45,752,568,302.25
5. Step 5: Solve for x
   x = 45,752,568,302.25/146,316
6. Step 6: Final answer
   x = 312,696.96