Finding the Third Proportional to 362,953 and 563,156

Step by Step Solution

1. Step 1: Write the proportion equation
   362,953 : 563,156 = 563,156 : x
2. Step 2: Convert to fraction form
   362,953/563,156 = 563,156/x
3. Step 3: Cross multiply
   362,953x = 563,156 × 563,156
4. Step 4: Simplify right side
   362,953x = 317,144,680,336
5. Step 5: Solve for x
   x = 317,144,680,336/362,953
6. Step 6: Final answer
   x = 873,789.94