Finding the Third Proportional to 38,463 and 83,077.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,463 : 83,077.50 = 83,077.50 : x
2. Step 2: Convert to fraction form
   38,463/83,077.50 = 83,077.50/x
3. Step 3: Cross multiply
   38,463x = 83,077.50 × 83,077.50
4. Step 4: Simplify right side
   38,463x = 6,901,871,006.25
5. Step 5: Solve for x
   x = 6,901,871,006.25/38,463
6. Step 6: Final answer
   x = 179,441.83