Finding the Third Proportional to 133,314 and 287,364

Step by Step Solution

1. Step 1: Write the proportion equation
   133,314 : 287,364 = 287,364 : x
2. Step 2: Convert to fraction form
   133,314/287,364 = 287,364/x
3. Step 3: Cross multiply
   133,314x = 287,364 × 287,364
4. Step 4: Simplify right side
   133,314x = 82,578,068,496
5. Step 5: Solve for x
   x = 82,578,068,496/133,314
6. Step 6: Final answer
   x = 619,425.33