Finding the Third Proportional to 329,841 and 493,897.50

Step by Step Solution

1. Step 1: Write the proportion equation
   329,841 : 493,897.50 = 493,897.50 : x
2. Step 2: Convert to fraction form
   329,841/493,897.50 = 493,897.50/x
3. Step 3: Cross multiply
   329,841x = 493,897.50 × 493,897.50
4. Step 4: Simplify right side
   329,841x = 243,934,740,506.25
5. Step 5: Solve for x
   x = 243,934,740,506.25/329,841
6. Step 6: Final answer
   x = 739,552.51