Finding the Third Proportional to 82,314 and 123,118

Step by Step Solution

1. Step 1: Write the proportion equation
   82,314 : 123,118 = 123,118 : x
2. Step 2: Convert to fraction form
   82,314/123,118 = 123,118/x
3. Step 3: Cross multiply
   82,314x = 123,118 × 123,118
4. Step 4: Simplify right side
   82,314x = 15,158,041,924
5. Step 5: Solve for x
   x = 15,158,041,924/82,314
6. Step 6: Final answer
   x = 184,149.01