Finding the Third Proportional to 52,646 and 112,528

Step by Step Solution

1. Step 1: Write the proportion equation
   52,646 : 112,528 = 112,528 : x
2. Step 2: Convert to fraction form
   52,646/112,528 = 112,528/x
3. Step 3: Cross multiply
   52,646x = 112,528 × 112,528
4. Step 4: Simplify right side
   52,646x = 12,662,550,784
5. Step 5: Solve for x
   x = 12,662,550,784/52,646
6. Step 6: Final answer
   x = 240,522.56