Finding the Third Proportional to 82,071 and 123,187.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,071 : 123,187.50 = 123,187.50 : x
2. Step 2: Convert to fraction form
   82,071/123,187.50 = 123,187.50/x
3. Step 3: Cross multiply
   82,071x = 123,187.50 × 123,187.50
4. Step 4: Simplify right side
   82,071x = 15,175,160,156.25
5. Step 5: Solve for x
   x = 15,175,160,156.25/82,071
6. Step 6: Final answer
   x = 184,902.83