Finding the Third Proportional to 357,819 and 534,892.50

Step by Step Solution

1. Step 1: Write the proportion equation
   357,819 : 534,892.50 = 534,892.50 : x
2. Step 2: Convert to fraction form
   357,819/534,892.50 = 534,892.50/x
3. Step 3: Cross multiply
   357,819x = 534,892.50 × 534,892.50
4. Step 4: Simplify right side
   357,819x = 286,109,986,556.25
5. Step 5: Solve for x
   x = 286,109,986,556.25/357,819
6. Step 6: Final answer
   x = 799,594.17