Finding the Third Proportional to 82,522.50 and 123,476.25

Step by Step Solution

1. Step 1: Write the proportion equation
   82,522.50 : 123,476.25 = 123,476.25 : x
2. Step 2: Convert to fraction form
   82,522.50/123,476.25 = 123,476.25/x
3. Step 3: Cross multiply
   82,522.50x = 123,476.25 × 123,476.25
4. Step 4: Simplify right side
   82,522.50x = 15,246,384,314.06
5. Step 5: Solve for x
   x = 15,246,384,314.06/82,522.50
6. Step 6: Final answer
   x = 184,754.27