Finding the Third Proportional to 362,882.50 and 564,196

Step by Step Solution

1. Step 1: Write the proportion equation
   362,882.50 : 564,196 = 564,196 : x
2. Step 2: Convert to fraction form
   362,882.50/564,196 = 564,196/x
3. Step 3: Cross multiply
   362,882.50x = 564,196 × 564,196
4. Step 4: Simplify right side
   362,882.50x = 318,317,126,416
5. Step 5: Solve for x
   x = 318,317,126,416/362,882.50
6. Step 6: Final answer
   x = 877,190.62