Finding the Third Proportional to 83,608.50 and 178,557

Step by Step Solution

1. Step 1: Write the proportion equation
   83,608.50 : 178,557 = 178,557 : x
2. Step 2: Convert to fraction form
   83,608.50/178,557 = 178,557/x
3. Step 3: Cross multiply
   83,608.50x = 178,557 × 178,557
4. Step 4: Simplify right side
   83,608.50x = 31,882,602,249
5. Step 5: Solve for x
   x = 31,882,602,249/83,608.50
6. Step 6: Final answer
   x = 381,332.07