Finding the Third Proportional to 81,084 and 177,112.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,084 : 177,112.50 = 177,112.50 : x
2. Step 2: Convert to fraction form
   81,084/177,112.50 = 177,112.50/x
3. Step 3: Cross multiply
   81,084x = 177,112.50 × 177,112.50
4. Step 4: Simplify right side
   81,084x = 31,368,837,656.25
5. Step 5: Solve for x
   x = 31,368,837,656.25/81,084
6. Step 6: Final answer
   x = 386,868.40