Finding the Third Proportional to 194,486.50 and 402,472

Step by Step Solution

1. Step 1: Write the proportion equation
   194,486.50 : 402,472 = 402,472 : x
2. Step 2: Convert to fraction form
   194,486.50/402,472 = 402,472/x
3. Step 3: Cross multiply
   194,486.50x = 402,472 × 402,472
4. Step 4: Simplify right side
   194,486.50x = 161,983,710,784
5. Step 5: Solve for x
   x = 161,983,710,784/194,486.50
6. Step 6: Final answer
   x = 832,878.94