Finding the Third Proportional to 81,738 and 176,386.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,738 : 176,386.50 = 176,386.50 : x
2. Step 2: Convert to fraction form
   81,738/176,386.50 = 176,386.50/x
3. Step 3: Cross multiply
   81,738x = 176,386.50 × 176,386.50
4. Step 4: Simplify right side
   81,738x = 31,112,197,382.25
5. Step 5: Solve for x
   x = 31,112,197,382.25/81,738
6. Step 6: Final answer
   x = 380,633.21