Finding the Third Proportional to 357,123 and 540,292.50

Step by Step Solution

1. Step 1: Write the proportion equation
   357,123 : 540,292.50 = 540,292.50 : x
2. Step 2: Convert to fraction form
   357,123/540,292.50 = 540,292.50/x
3. Step 3: Cross multiply
   357,123x = 540,292.50 × 540,292.50
4. Step 4: Simplify right side
   357,123x = 291,915,985,556.25
5. Step 5: Solve for x
   x = 291,915,985,556.25/357,123
6. Step 6: Final answer
   x = 817,410.21