Finding the Third Proportional to 83,632 and 178,776

Step by Step Solution

1. Step 1: Write the proportion equation
   83,632 : 178,776 = 178,776 : x
2. Step 2: Convert to fraction form
   83,632/178,776 = 178,776/x
3. Step 3: Cross multiply
   83,632x = 178,776 × 178,776
4. Step 4: Simplify right side
   83,632x = 31,960,858,176
5. Step 5: Solve for x
   x = 31,960,858,176/83,632
6. Step 6: Final answer
   x = 382,160.63