Finding the Third Proportional to 83,316 and 178,536

Step by Step Solution

1. Step 1: Write the proportion equation
   83,316 : 178,536 = 178,536 : x
2. Step 2: Convert to fraction form
   83,316/178,536 = 178,536/x
3. Step 3: Cross multiply
   83,316x = 178,536 × 178,536
4. Step 4: Simplify right side
   83,316x = 31,875,103,296
5. Step 5: Solve for x
   x = 31,875,103,296/83,316
6. Step 6: Final answer
   x = 382,580.82