Finding the Third Proportional to 349,407 and 527,008.50

Step by Step Solution

1. Step 1: Write the proportion equation
   349,407 : 527,008.50 = 527,008.50 : x
2. Step 2: Convert to fraction form
   349,407/527,008.50 = 527,008.50/x
3. Step 3: Cross multiply
   349,407x = 527,008.50 × 527,008.50
4. Step 4: Simplify right side
   349,407x = 277,737,959,072.25
5. Step 5: Solve for x
   x = 277,737,959,072.25/349,407
6. Step 6: Final answer
   x = 794,883.79