Finding the Third Proportional to 349,413 and 527,017.50

Step by Step Solution

1. Step 1: Write the proportion equation
   349,413 : 527,017.50 = 527,017.50 : x
2. Step 2: Convert to fraction form
   349,413/527,017.50 = 527,017.50/x
3. Step 3: Cross multiply
   349,413x = 527,017.50 × 527,017.50
4. Step 4: Simplify right side
   349,413x = 277,747,445,306.25
5. Step 5: Solve for x
   x = 277,747,445,306.25/349,413
6. Step 6: Final answer
   x = 794,897.29