Finding the Third Proportional to 102,324 and 209,719.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,324 : 209,719.50 = 209,719.50 : x
2. Step 2: Convert to fraction form
   102,324/209,719.50 = 209,719.50/x
3. Step 3: Cross multiply
   102,324x = 209,719.50 × 209,719.50
4. Step 4: Simplify right side
   102,324x = 43,982,268,680.25
5. Step 5: Solve for x
   x = 43,982,268,680.25/102,324
6. Step 6: Final answer
   x = 429,833.36