Finding the Third Proportional to 81,082.50 and 177,438

Step by Step Solution

1. Step 1: Write the proportion equation
   81,082.50 : 177,438 = 177,438 : x
2. Step 2: Convert to fraction form
   81,082.50/177,438 = 177,438/x
3. Step 3: Cross multiply
   81,082.50x = 177,438 × 177,438
4. Step 4: Simplify right side
   81,082.50x = 31,484,243,844
5. Step 5: Solve for x
   x = 31,484,243,844/81,082.50
6. Step 6: Final answer
   x = 388,298.88