Finding the Third Proportional to 82,152 and 123,045.75

Step by Step Solution

1. Step 1: Write the proportion equation
   82,152 : 123,045.75 = 123,045.75 : x
2. Step 2: Convert to fraction form
   82,152/123,045.75 = 123,045.75/x
3. Step 3: Cross multiply
   82,152x = 123,045.75 × 123,045.75
4. Step 4: Simplify right side
   82,152x = 15,140,256,593.06
5. Step 5: Solve for x
   x = 15,140,256,593.06/82,152
6. Step 6: Final answer
   x = 184,295.65