Finding the Third Proportional to 347,238 and 521,782.50

Step by Step Solution

1. Step 1: Write the proportion equation
   347,238 : 521,782.50 = 521,782.50 : x
2. Step 2: Convert to fraction form
   347,238/521,782.50 = 521,782.50/x
3. Step 3: Cross multiply
   347,238x = 521,782.50 × 521,782.50
4. Step 4: Simplify right side
   347,238x = 272,256,977,306.25
5. Step 5: Solve for x
   x = 272,256,977,306.25/347,238
6. Step 6: Final answer
   x = 784,064.47