Finding the Third Proportional to 333,882 and 533,385

Step by Step Solution

1. Step 1: Write the proportion equation
   333,882 : 533,385 = 533,385 : x
2. Step 2: Convert to fraction form
   333,882/533,385 = 533,385/x
3. Step 3: Cross multiply
   333,882x = 533,385 × 533,385
4. Step 4: Simplify right side
   333,882x = 284,499,558,225
5. Step 5: Solve for x
   x = 284,499,558,225/333,882
6. Step 6: Final answer
   x = 852,096.12