Finding the Third Proportional to 82,088 and 177,297.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,088 : 177,297.50 = 177,297.50 : x
2. Step 2: Convert to fraction form
   82,088/177,297.50 = 177,297.50/x
3. Step 3: Cross multiply
   82,088x = 177,297.50 × 177,297.50
4. Step 4: Simplify right side
   82,088x = 31,434,403,506.25
5. Step 5: Solve for x
   x = 31,434,403,506.25/82,088
6. Step 6: Final answer
   x = 382,935.43