Finding the Third Proportional to 329,985 and 514,696.50

Step by Step Solution

1. Step 1: Write the proportion equation
   329,985 : 514,696.50 = 514,696.50 : x
2. Step 2: Convert to fraction form
   329,985/514,696.50 = 514,696.50/x
3. Step 3: Cross multiply
   329,985x = 514,696.50 × 514,696.50
4. Step 4: Simplify right side
   329,985x = 264,912,487,112.25
5. Step 5: Solve for x
   x = 264,912,487,112.25/329,985
6. Step 6: Final answer
   x = 802,801.60