Finding the Third Proportional to 83,528 and 114,540

Step by Step Solution

1. Step 1: Write the proportion equation
   83,528 : 114,540 = 114,540 : x
2. Step 2: Convert to fraction form
   83,528/114,540 = 114,540/x
3. Step 3: Cross multiply
   83,528x = 114,540 × 114,540
4. Step 4: Simplify right side
   83,528x = 13,119,411,600
5. Step 5: Solve for x
   x = 13,119,411,600/83,528
6. Step 6: Final answer
   x = 157,066.03