Finding the Third Proportional to 349,334 and 527,320.50

Step by Step Solution

1. Step 1: Write the proportion equation
   349,334 : 527,320.50 = 527,320.50 : x
2. Step 2: Convert to fraction form
   349,334/527,320.50 = 527,320.50/x
3. Step 3: Cross multiply
   349,334x = 527,320.50 × 527,320.50
4. Step 4: Simplify right side
   349,334x = 278,066,909,720.25
5. Step 5: Solve for x
   x = 278,066,909,720.25/349,334
6. Step 6: Final answer
   x = 795,991.54