Finding the Third Proportional to 76,316 and 165,761.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,316 : 165,761.50 = 165,761.50 : x
2. Step 2: Convert to fraction form
   76,316/165,761.50 = 165,761.50/x
3. Step 3: Cross multiply
   76,316x = 165,761.50 × 165,761.50
4. Step 4: Simplify right side
   76,316x = 27,476,874,882.25
5. Step 5: Solve for x
   x = 27,476,874,882.25/76,316
6. Step 6: Final answer
   x = 360,040.82