Finding the Third Proportional to 212,713 and 329,326.50

Step by Step Solution

1. Step 1: Write the proportion equation
   212,713 : 329,326.50 = 329,326.50 : x
2. Step 2: Convert to fraction form
   212,713/329,326.50 = 329,326.50/x
3. Step 3: Cross multiply
   212,713x = 329,326.50 × 329,326.50
4. Step 4: Simplify right side
   212,713x = 108,455,943,602.25
5. Step 5: Solve for x
   x = 108,455,943,602.25/212,713
6. Step 6: Final answer
   x = 509,869.84