Finding the Third Proportional to 102,326.25 and 209,724

Step by Step Solution

1. Step 1: Write the proportion equation
   102,326.25 : 209,724 = 209,724 : x
2. Step 2: Convert to fraction form
   102,326.25/209,724 = 209,724/x
3. Step 3: Cross multiply
   102,326.25x = 209,724 × 209,724
4. Step 4: Simplify right side
   102,326.25x = 43,984,156,176
5. Step 5: Solve for x
   x = 43,984,156,176/102,326.25
6. Step 6: Final answer
   x = 429,842.35